The graphs:
Remark: Appearently, MSIE incorrectly considers all mark-up as word delimitters. As a result it can sometimes happen that there is a single "C" at the end of a line, which should have been joint with, for example, a "(1)". |
For CDT it is known that C(1) = 1, C(2) = 2, and C(n) = C(n-1) + C(n-2). This is related to the EIS sequence A000045.
For C2F it is known that C(1) = 0, C(2) = 1, and C(n) = C(n-1) + C(n-2). This is related to the EIS sequence A000045.
For CHC it is known that C(1) = 0, C(2) = 1, and C(n) = C(n-1).
For CHP it is known that C(1) = 1, C(2) = 4, C(3) = 8, C(4) = 14, and C(n) = 3C(n-1) - 3C(n-2) + C(n-3). This is the EIS sequence A003682.
For CST it is known that C(1) = 1, C(2) = 4, and C(n) = 4C(n-1) - C(n-2). This is the EIS sequence A001353.
For CST13 it is known that C(n) = 0.
For CDT it is known that C(1) = 0, C(2) = 3, C(3) = 0, C(4) = 11, and C(n) = 4C(n-2) - C(n-4). This is related to the EIS sequence A001835. See also Opera Omnia by L. Euler, Teubner, Leipzig, 1911, Series (1), Vol. 1, p. 375, Side-and-diagonal numbers by F. V. Waugh and M. W. Maxfield, Math. Mag., 40 (1967), 74-83, and Concrete Mathematics by R. L. Graham, D. E. Knuth and O. Patashnik, Addison-Wesley, Reading, MA, 1990, p. 329.
For C2F it is known that C(1) = 0, C(2) = 1, and C(n) = 3C(n-2).
For CHC it is known that C(1) = 0, C(2) = 1, and C(n) = 2C(n-2).
For CHP we found C(1) = 1, C(2) = 8, C(3) = 20, C(4) = 62, C(5) = 132, C(6) = 336, C(7) = 688, C(8) = 1578, and C(n) = 3C(n-1) + 2C(n-2) - 12C(n-3) + 4C(n-4) + 12C(n-5) - 8C(n-6). This is the EIS sequence A003685.
For CST we found C(1) = 1, C(2) = 15, C(3) = 192, C(4) = 2415, and C(n) = 15C(n-1) - 32C(n-2) + 15C(n-3) - C(n-4). This the EIS sequence A006238. See also Complexite et circuits Euleriens dans la sommes tensorielles de graphes by G. Kreweras, in J. Combin. Theory, B 24 (1978), 202-212.
For CST13 we found C(1) = 0, C(2) = 1, C(3) = 0, C(4) = 0, C(5) = 0, and C(n) = 4C(n-4).
For CPFT it is known that C(1) = 1, C(2) = 4, C(3) = 12, C(4) = 38, and C(n) = 4C(n-1) - 3C(n-2) + 2C(n-3) + C(n-4). This is the EIS sequence A006192. See also A lattice path problem by H. L. Abbott and D. Hanson, in Ars Combin., 6 (1978), 163-178. And the netnews group rec.puzzles, Frequently Asked Questions (FAQ) file (Science Section).
For CDT it is known that C(1) = 0, C(2) = 4, C(3) = 0, C(4) = 19, and C(n) = 5C(n-2) - C(n-4). This is related to the EIS sequence A004253. This sequence is the same as the number of domino tilings in S4 x Pn.
For C2F it is known that C(1) = 1, C(2) = 4, and C(n) = 3C(n-1) + C(n-2). This is the EIS sequence A003688.
For CHC it is known that C(1) = 1, C(2) = 3, and C(n) = 2C(n-1). This is the EIS sequence A003945.
For CHP it is known that C(1) = 3, C(2) = 30, C(3) = 144, C(4) = 588, C(5) = 2160, and C(n) = 7C(n-1) - 16C(n-2) + 12C(n-3). This is the EIS sequence A003689.
For CST we found C(1) = 3, C(2) = 75, C(3) = 1728, and C(n) = 24C(n-1) - 24C(n-2) + C(n-3). This the EIS sequence A003690.
For CST13 we found C(1) = 0, C(2) = 3, C(3) = 0, C(4) = 36, C(5) = 0, and C(n) = 8C(n-2) + 8C(n-4). This is related to the EIS sequence A003691.
For CDT it is known that C(1) = 1, C(2) = 5, C(3) = 11, C(4) = 36, and C(n) = C(n-1) + 5C(n-2) + C(n-3) - C(n-4). This is the EIS sequence A005178. See also page 292 of Enumerative Combinatorics I by Stanley.
For C2F it is known that C(1) = 0, C(2) = 2, C(3) = 3, C(4) = 18, C(5) = 54, and C(n) = 2C(n-1) + 7C(n-2) - 2C(n-3) - 3C(n-4) + C(n-5). This is the EIS sequence A003693.
For CHC it is known that C(1) = 0, C(2) = 1, C(3) = 2, C(4) = 6, and C(n) = 2C(n-1) + 2C(n-2) - 2C(n-3) + C(n-4). This is the EIS sequence A006864. See also On the number of Hamilton cycles of P4 x Pn by R. Tosic et al., Indian J. of Pure and Applied Math. 21 (1990), 403-409, and Enumeration of Hamiltonian cycles in P4 x Pn and P5 x Pn by Y.H.H. Kwong in Ars Combin. 33 (1992), 87-96.
For CHP we found C(1) = 1, C(2) = 14, C(3) = 62, C(4) = 276, C(5) = 1006, C(6) = 3610, C(7) = 12010, C(8) = 38984, C(9) = 122188, C(10) = 375122, C(11) = 1128446, C(12) = 3342794, C(13) = 9767588, C(14) = 28217820, C(15) = 80709424, C(16) = 228864620, and C(n) = 6C(n-1) - 5C(n-2) - 27C(n-3) + 37C(n-4) + 48C(n-5) - 69C(n-6) - 38C(n-7) + 57C(n-8) - 2C(n-9) - 31C(n-10) + 13C(n-11) + 3C(n-12) - 4C(n-13) + C(n-14). This is the EIS sequence A003695.
For CST we found C(1) = 1, C(2) = 56, C(3) = 2415, C(4) = 100352, C(5) = 4140081, C(6) = 170537640, C(7) = 7022359583, C(8) = 289143013376, and C(n) = 56C(n-1) - 672C(n-2) + 2632C(n-3) - 4094C(n-4) + 2632C(n-5) - 672C(n-6) + 56C(n-7) - C(n-8). This the EIS sequence A003696.
For CPFT we found C(1) = 1, C(2) = 8, C(3) = 38, C(4) = 184, C(5) = 976, C(6) = 5382, C(7) = 29739, C(8) = 163496, C(9) = 896476, C(10) = 4913258, C(11) = 26932712, C(12) = 147657866, and C(n) = 12C(n-1) - 54C(n-2) + 124C(n-3) - 133C(n-4) - 16C(n-5) + 175C(n-6) - 94C(n-7) - 69C(n-8) + 40C(n-9) + 12C(n-10) - 4C(n-11) - C(n-12). This the EIS sequence A007786. See alse netnews group rec.puzzles, Frequently Asked Questions (FAQ) file (Science Section).
For CDT it is known that C(1) = 2, C(2) = 9, C(3) = 32, and C(n) = 3C(n-1) + 3C(n-2) - C(n-3). This is related to the EIS sequence A003697, which is a duplicate of A006253.
For C2F it is known that C(1) = 1, C(2) = 9, C(3) = 53, and C(n) = 6C(n-1) + 3C(n-2) - 4C(n-3). This is the EIS sequence A003698.
For CHC it is known that C(1) = 1, C(2) = 6, C(3) = 22, and C(n) = 4C(n-1) - C(n-2). This is the EIS sequence A003699.
For CHP we found C(1) = 4, C(2) = 72, C(3) = 584, C(4) = 4016, C(5) = 24656, C(6) = 140624, C(7) = 761960, C(8) = 3976704, and C(n) = 11C(n-1) - 36C(n-2) + 16C(n-3) + 67C(n-4) - 9C(n-5) - 10C(n-6) + 2C(n-7). This is the EIS sequence A003752.
For CST we found C(1) = 4, C(2) = 384, C(3) = 31500, C(4) = 2558976, C(5) = 207746836, C(6) = 16864848000, and C(n) = 90C(n-1) - 735C(n-2) + 1548C(n-3) - 735C(n-4) + 90C(n-5) - C(n-6). This the EIS sequence A003753.
For CDT it is known that C(1) = 0, C(2) = 4, C(3) = 0, C(4) = 19, and C(n) = 5C(n-2) - C(n-4). This is related to the EIS sequence A004253. This sequence is the same as the number of domino tilings in K3 x Pn.
For C2F it is known that C(n) = 0.
For CHC it is known that C(n) = 0.
For CHP we found C(1) = 0, C(2) = 6, and C(n) = 5C(n-2). This the EIS sequence A003948.
For CST we found C(1) = 1, C(2) = 54, C(3) = 2240, C(4) = 89964, C(5) = 3596725, C(6) = 143700480, and C(n) = 48C(n-1) - 336C(n-2) + 582C(n-3) - 336C(n-4) + 48C(n-5) - C(n-6). This the EIS sequence A003755.
For CST13 we found C(1) = 1, C(2) = 0, C(3) = 0, C(4) = 0, C(5) = 24, C(6) = 0, C(7) = 54, and C(n) = 2C(n-2) + 16C(n-4) + 4C(n-6). This is the EIS sequence A003756.
For CDT we found C(1) = 1, C(2) = 6, C(3) = 13, C(4) = 49, and C(n) = C(n-1) + 6C(n-2) + C(n-3) - C(n-4). This is the EIS sequence A003757.
For C2F we found C(1) = 0, C(2) = 3, C(3) = 7, C(4) = 46, C(5) = 193, and C(n) = 3C(n-1) + 9C(n-2) - 3C(n-3) - 3C(n-4) + C(n-5). This is the EIS sequence A003758.
For CHC we found C(1) = 0, C(2) = 2, C(3) = 6, C(4) = 24, and C(n) = 3C(n-1) + 3C(n-2) - 2C(n-3) + C(n-4). This is the EIS sequence A003759.
For CHP we found C(1) = 2, C(2) = 40, C(3) = 240, C(4) = 1558, C(5) = 8300, C(6) = 43438, C(7) = 212700, C(8) = 1014700, C(9) = 4691580, C(10) = 21257258, C(11) = 94520524, C(12) = 414149254, C(13) = 1791339472, C(14) = 7664373014, C(15) = 32481662616, C(16) = 136520499746, C(17) = 569599125312, C(18) = 2361080470268, and C(n) = 11C(n-1) - 34C(n-2) - 22C(n-3) + 266C(n-4) - 270C(n-5) - 454C(n-6) + 986C(n-7) - 247C(n-8) - 887C(n-9) + 1013C(n-10) - 259C(n-11) - 353C(n-12) + 417C(n-13) - 225C(n-14) + 71C(n-15) - 13C(n-16) + C(n-17). This is the EIS sequence A003760.
For CST we found C(1) = 3, C(2) = 270, C(3) = 20160, C(4) = 1477980, C(5) = 108097935, C(6) = 7903526400, C(7) = 577834413429, C(8) = 42245731959480, and C(n) = 90C(n-1) - 1313C(n-2) + 5850C(n-3) - 9828C(n-4) + 5850C(n-5) - 1313C(n-6) + 90C(n-7) - C(n-8). This the EIS sequence A003761.
For CST13 we found C(1) = 1, C(2) = 4, C(3) = 16, C(4) = 92, C(5) = 432, C(6) = 1884, C(7) = 8582, C(8) = 39736, C(9) = 181936, C(10) = 829672, C(11) = 3793850, C(12) = 17366388, C(13) = 79441576, C(14) = 363298928, C(15) = 1661695126, and C(n) = 4C(n-1) - 5C(n-2) + 30C(n-3) + 13C(n-4) + 36C(n-5) + 48C(n-6) - 76C(n-7) - 14C(n-8) - 36C(n-9) + 4C(n-10) + 8C(n-11) - 4C(n-12). This is the EIS sequence A003762.
For CDT it is known that C(1) = 2, C(2) = 10, C(3) = 36, C(4) = 145, and C(n) = 2C(n-1) + 7C(n-2) + 2C(n-3) - C(n-4). This is the EIS sequence A001582.
For C2F it is known that C(1) = 1, C(2) = 13, C(3) = 85, C(4) = 673, C(5) = 5021, and C(n) = 6C(n-1) + 16C(n-2) - 29C(n-3) - 16C(n-4) + 16C(n-5). This is the EIS sequence A003764.
For CHC we found C(1) = 1, C(2) = 10, C(3) = 46, C(4) = 238, C(5) = 1170, C(6) = 5882, and C(n) = 5C(n-1) + 3C(n-2) - 19C(n-3) + 20C(n-4) - 4C(n-5). This is the EIS sequence A003765.
For CHP we found C(1) = 6, C(2) = 152, C(3) = 1608, C(4) = 15420, C(5) = 127980, C(6) = 1003360, C(7) = 7432708, C(8) = 53294540, C(9) = 371397240, C(10) = 2537155684, C(11) = 17047659916, C(12) = 113102692016, C(13) = 742597784164, C(14) = 4835184613212, C(15) = 31267479066856, C(16) = 201066698078244, C(17) = 1286998671857356, and C(n) = 14C(n-1) - 41C(n-2) - 193C(n-3) + 1025C(n-4) + 49C(n-5) - 5867C(n-6) + 7519C(n-7) + 6908C(n-8) - 23055C(n-9) + 16228C(n-10) + 2530C(n-11) - 7196C(n-12) + 832C(n-13) + 1568C(n-14) - 608C(n-15) + 64C(n-16). This is the EIS sequence A003766.
For CST we found For CST we found C(1) = 8, C(2) = 1152, C(3) = 147000, C(4) = 18643968, C(5) = 2363741512, C(6) = 299675376000, and C(n) = 140C(n-1) - 1715C(n-2) + 4952C(n-3) - 1715C(n-4) + 140C(n-5) - C(n-6). This the EIS sequence A003767.
For CST13 we found C(1) = 2, C(2) = 16, C(3) = 144, C(4) = 1216, C(5) = 10004, C(6) = 82608, C(7) = 682636, C(8) = 5639688, C(9) = 46590712, C(10) = 384898384, C(11) = 3179752720, and C(n) = 14C(n-1) - 62C(n-2) + 148C(n-3) - 264C(n-4) + 336C(n-5) - 256C(n-6) + 128C(n-7) - 64C(n-8). This is the EIS sequence A003768.
For CDT it is known that C(1) = 3, C(2) = 16, C(3) = 75, and C(n) = 4C(n-1) + 4C(n-2) - C(n-3). This is the EIS sequence A003769.
For C2F it is known that C(1) = 3, C(2) = 42, C(3) = 474, and C(n) = 11C(n-1) + 8C(n-2) - 12C(n-3). This is the EIS sequence A003770.
For CHC it is known that C(1) = 3, C(2) = 30, C(3) = 198, and C(n) = 7C(n-1) - 2C(n-2). This is the EIS sequence A003771.
For CHP we found C(1) = 12, C(2) = 408, C(3) = 6648, C(4) = 90672, C(5) = 1103088, C(6) = 12509256, C(7) = 135409896, and C(n) = 23C(n-1) - 173C(n-2) + 421C(n-3) + 62C(n-4) - 132C(n-5) + 24C(n-6). This is the EIS sequence A003772.
For CST we found C(1) = 16, C(2) = 3456, C(3) = 686000, C(4) = 135834624, C(5) = 26894628304, and C(n) = 205C(n-1) - 1394C(n-2) + 1394C(n-3) - 205C(n-4) + C(n-5). This the EIS sequence A003773. Paul Raff found C(n) = 204C(n-1) - 1190C(n-2) + 204C(n-3) - C(n-4).
For CST13 we found C(1) = 4, C(2) = 48, C(3) = 672, C(4) = 8496, C(5) = 106944, C(6) = 1349760, C(7) = 17032800, and C(n) = 12C(n-1) + 4C(n-2) + 48C(n-3). This is the EIS sequence A003774.
For CDT it is known that C(1) = 0, C(2) = 8, C(3) = 0, C(4) = 95, C(5) = 0, C(6) = 1183, C(7) = 0, C(8) = 14824, and C(n) = 15C(n-2) - 32C(n-4) + 15C(n-6) - C(n-8). This is the EIS sequence A003775. See also page 292 of Enumerative Combinatorics I by Stanley.
For C2F we found C(1) = 0, C(2) = 3, C(3) = 0, C(4) = 54, C(5) = 0, C(6) = 1140, and C(n) = 24C(n-2) - 57C(n-4) + 26C(n-6). This is the EIS sequence A003776.
For CHC it is known that C(1) = 0, C(2) = 1, C(3) = 0, C(4) = 14, C(5) = 0, C(6) = 154, and C(n) = 11C(n-2) + 2C(n-6). This is the EIS sequence A006865. See also Enumeration of Hamiltonian cycles in P4 x Pn and P5 x Pn by Y.H.H. Kwong in Ars Combin. 33 (1992), 87-96, and A Matrix Method for Counting Hamiltonian Cycles on Grid Graphs by Y.H.H. Kwong in European J. of Combinatorics 15 (1994), 277-283.
For CHP we found C(1) = 1, C(2) = 22, C(3) = 132, C(4) = 1006, C(5) = 4324, C(6) = 26996, C(7) = 109722, C(8) = 602804, C(9) = 2434670, C(10) = 12287118, C(11) = 49852352, C(12) = 237425498, C(13) = 969300694, C(14) = 4434629912, C(15) = 18203944458, C(16) = 80978858522, C(17) = 333840165288, C(18) = 1456084764388, C(19) = 6021921661718, C(20) = 25904211802080, C(21) = 107378816068904, C(22) = 457440612631750, C(23) = 1899305396852550, C(24) = 8036345146341508, C(25) = 33405640842497978, C(26) = 140677778437397166, C(27) = 585243342550350368, C(28) = 2456482541007655088, C(29) = 10225087180260916062, C(30) = 42821044456634131964, C(31) = 178310739623644629736, C(32) = 745570951093506967610, C(33) = 3105442902100584328222, C(34) = 12970906450154764259728, C(35) = 54035954199253554652658, C(36) = 225534416271325317632922, C(37) = 939676160294548239862008, C(38) = 3920063808158344161168316, and C(n) = 9C(n-1) + 13C(n-2) - 328C(n-3) + 412C(n-4) + 4606C(n-5) - 11333C(n-6) - 30993C(n-7) + 116054C(n-8) + 91896C(n-9) - 647749C(n-10) + 46716C(n-11) + 2183660C(n-12) - 1288032C(n-13) - 4582138C(n-14) + 4554646C(n-15) + 5907135C(n-16) - 8495755C(n-17) - 4382389C(n-18) + 9710124C(n-19) + 1499560C(n-20) - 7358998C(n-21) + 149939C(n-22) + 4121575C(n-23) - 474900C(n-24) - 1872534C(n-25) + 392241C(n-26) + 637672C(n-27) - 187640C(n-28) - 147856C(n-29) + 48980C(n-30) + 28332C(n-31) - 13032C(n-32) - 216C(n-33) + 756C(n-34) - 864C(n-35) + 432C(n-36). This is the EIS sequence A003778.
For CST we found C(1) = 1, C(2) = 209, C(3) = 30305, C(4) = 4140081, C(5) = 557568000, C(6) = 74795194705, C(7) = 10021992194369, C(8) = 1342421467113969, C(9) = 179796299139278305, C(10) = 24080189412483072000, C(11) = 3225041354570508955681, C(12) = 431926215138756947267505, C(13) = 57847355494807961811035009, C(14) = 7747424602888405489208931601, C(15) = 1037602902862756514154816000000, C(16) = 138964858389586339640223412108401, C(17) = 18611389483734199394023624777573409, C(18) = 2492600085599977923424220468405177105, C(19) = 333830807688353225138019865387722924481, C(20) = 44709541971379003103897461691112357888000, C(21) = 5987892960038182781131697625354150226327105, C(22) = 801951004627869433685025226859351146717402769, C(23) = 107404293649401297954327034703922488508540561569, C(24) = 14384522530358739351890623742584897464468359377905, C(25) = 1926501086648879747745673025840512108858205299200000, C(26) = 258013877695694120804712221064093162848578908856571281, and C(n) = 241C(n-1) - 18960C(n-2) + 727920C(n-3) - 16221840C(n-4) + 230272517C(n-5) - 2204428757C(n-6) + 14784465600C(n-7) - 71357630400C(n-8) + 252769767360C(n-9) - 666757773306C(n-10) + 1323590169306C(n-11) - 1991636552160C(n-12) + 2281194444960C(n-13) - 1991636552160C(n-14) + 1323590169306C(n-15) - 666757773306C(n-16) + 252769767360C(n-17) - 71357630400C(n-18) + 14784465600C(n-19) - 2204428757C(n-20) + 230272517C(n-21) - 16221840C(n-22) + 727920C(n-23) - 18960C(n-24) + 241C(n-25) - C(n-26). This the EIS sequence A003779.
For CST13 we found C(1) = 0, C(2) = 0, C(3) = 0, C(4) = 0, C(5) = 0, C(6) = 296, C(7) = 0, C(8) = 0, C(9) = 0, C(10) = 70420, C(11) = 0, C(12) = 0, C(13) = 0, C(14) = 16391166, C(15) = 0, C(16) = 0, C(17) = 0, C(18) = 3816021084, C(19) = 0, C(20) = 0, C(21) = 0, C(22) = 888375830566, C(23) = 0, C(24) = 0, C(25) = 0, C(26) = 206814474641944, C(27) = 0, C(28) = 0, C(29) = 0, C(30) = 48146529005876746, C(31) = 0, C(32) = 0, C(33) = 0, C(34) = 11208539472498838244, C(35) = 0, C(36) = 0, C(37) = 0, C(38) = 2609354391828066201746, C(39) = 0, C(40) = 0, C(41) = 0, C(42) = 607459192887167645884388, C(43) = 0, C(44) = 0, C(45) = 0, C(46) = 141416847085185500394182672, C(47) = 0, C(48) = 0, C(49) = 0, C(50) = 32921922778799648796216249818, C(51) = 0, C(52) = 0, C(53) = 0, C(54) = 7664242427921761934124201980862, C(55) = 0, C(56) = 0, C(57) = 0, C(58) = 1784240015038927382237215443432910, and C(n) = 262C(n-4) - 7125C(n-8) + 78668C(n-12) - 581608C(n-16) + 2138065C(n-20) - 5215246C(n-24) + 16969316C(n-28) - 43146455C(n-32) + 39514076C(n-36) + 7628882C(n-40) - 6116529C(n-44) + 23336C(n-48) - 2876C(n-52) + 64C(n-56). This is the EIS sequence A003780.
For CPFT we found C(1) = 1, C(2) = 16, C(3) = 125, C(4) = 976, C(5) = 8512, C(6) = 79384, C(7) = 752061, C(8) = 7110272, C(9) = 67005561, C(10) = 630588698, C(11) = 5933085772, C(12) = 55827318685, C(13) = 525343024814, C(14) = 4943673540576, C(15) = 46521924780255, C(16) = 437788749723725, C(17) = 4119750109152730, C(18) = 38768318191017931, C(19) = 364823700357765771, C(20) = 3433121323699285343, C(21) = 32306898830469680384, C(22) = 304019468350280601960, C(23) = 2860931888452842047170, C(24) = 26922391858409506569346, C(25) = 253349332040459400463497, C(26) = 2384107785665647075602841, C(27) = 22435306570786253414376286, and C(n) = 30C(n-1) - 383C(n-2) + 2772C(n-3) - 12378C(n-4) + 33254C(n-5) - 40395C(n-6) - 44448C(n-7) + 239776C(n-8) - 274256C(n-9) - 180404C(n-10) + 678758C(n-11) - 301650C(n-12) - 542266C(n-13) + 492472C(n-14) + 184306C(n-15) - 225284C(n-16) - 102314C(n-17) + 25534C(n-18) + 97396C(n-19) + 10392C(n-20) - 40292C(n-21) - 13218C(n-22) + 5328C(n-23) + 5376C(n-24) + 1822C(n-25) + 319C(n-26) + 24C(n-27). This is the EIS sequence A007787. See also netnews group rec.puzzles, Frequently Asked Questions (FAQ) file (Science Section).
For CDT we found C(1) = 0, C(2) = 11, C(3) = 0, C(4) = 176, C(5) = 0, C(6) = 2911, C(7) = 0, C(8) = 48301, and C(n) = 19C(n-2) - 41C(n-4) + 19C(n-6) - C(n-8). This is the EIS sequence A003729.
For C2F it is known that C(1) = 1, C(2) = 11, C(3) = 81, C(4) = 666, and C(n) = 9C(n-1) - 4C(n-2) - 22C(n-3) + 3C(n-4). This is the EIS sequence A003730.
For CHC it is known that C(1) = 1, C(2) = 5, C(3) = 30, C(4) = 160, and C(n) = 6C(n-1) - 4C(n-2) + 2C(n-3). This is the EIS sequence A003731.
For CHP we found C(1) = 5, C(2) = 130, C(3) = 1660, C(4) = 16820, C(5) = 152230, C(6) = 1275680, C(7) = 10154290, C(8) = 77897010, C(9) = 581452680, C(10) = 4250594690, C(11) = 30572999140, C(12) = 217099260110, C(13) = 1525905283670, C(14) = 10636695448300, and C(n) = 19C(n-1) - 127C(n-2) + 328C(n-3) - 117C(n-4) - 675C(n-5) + 1127C(n-6) - 1016C(n-7) + 380C(n-8) + 12C(n-9) - 140C(n-10) + 68C(n-11) - 20C(n-12). This is the EIS sequence A003732.
For CST we found C(1) = 5, C(2) = 1805, C(3) = 508805, C(4) = 140503005, C(5) = 38720000000, C(6) = 10668237057005, C(7) = 2939274449134805, C(8) = 809816405722655805, C(9) = 223117116976138566005, and C(n) = 319C(n-1) - 12441C(n-2) + 128319C(n-3) - 408001C(n-4) + 408001C(n-5) - 128319C(n-6) + 12441C(n-7) - 319C(n-8) + C(n-9). This the EIS sequence A003733.
For CST13 we found C(1) = 0, C(2) = 0, C(3) = 0, C(4) = 260, C(5) = 0, C(6) = 27420, C(7) = 0, C(8) = 2504560, C(9) = 0, C(10) = 223723080, C(11) = 0, C(12) = 19923617840, C(13) = 0, C(14) = 1773563554900, C(15) = 0, C(16) = 157870122686600, C(17) = 0, C(18) = 14052371971981100, C(19) = 0, C(20) = 1250831588811052320, C(21) = 0, C(22) = 111339169110472830220, C(23) = 0, C(24) = 9910535055491682625400, C(25) = 0, C(26) = 882157695038695625086700, and C(n) = 98C(n-2) - 745C(n-4) - 4916C(n-6) - 234C(n-8) + 160624C(n-10) - 26648C(n-12) + 338976C(n-14) - 1265216C(n-16) - 2291392C(n-18) - 1695488C(n-20) - 307200C(n-22) + 32768C(n-24). This is the EIS sequence A003734.
For CDT we found C(1) = 0, C(2) = 29, C(3) = 0, C(4) = 1189, C(5) = 0, C(6) = 49401, C(7) = 0, C(8) = 2053641, and C(n) = 44C(n-2) - 102C(n-4) + 44C(n-6) - C(n-8). This is the EIS sequence A003735.
For C2F we found C(1) = 4, C(2) = 156, C(3) = 3832, C(4) = 101476, C(5) = 2653176, C(6) = 69537644, and C(n) = 21C(n-1) + 149C(n-2) - 285C(n-3) - 1354C(n-4) + 1098C(n-5) - 24C(n-6). This is the EIS sequence A003736.
For CHC we found C(1) = 4, C(2) = 92, C(3) = 1432, C(4) = 22632, C(5) = 357952, C(6) = 5660752, C(7) = 89521984, C(8) = 1415743552, and C(n) = 13C(n-1) + 50C(n-2) - 80C(n-3) - 120C(n-4) + 188C(n-5) + 32C(n-6) - 16C(n-7). This is the EIS sequence A003737.
For CHP we found C(1) = 24, C(2) = 1920, C(3) = 70184, C(4) = 2154592, C(5) = 58772296, and C(n) = 60C(n-1) - 128C(n-2) - 3328C(n-3) - 56832C(n-4). This is the EIS sequence A003738.
For CST we found C(1) = 45, C(2) = 55125, C(3) = 59719680, C(4) = 64416925125, C(5) = 69471840376125, C(6) = 74922901143552000, C(7) = 80801651828175064605, C(8) = 87141671714980415665125, C(9) = 93979154798291442260459520, C(10) = 101353134069755356151903203125, C(11) = 109305705161948608971303898586445, C(12) = 117882266696631019723081388654592000, C(13) = 127131779452379001923883580191491125005, and C(n) = 1165C(n-1) - 95656C(n-2) + 2537296C(n-3) - 26475880C(n-4) + 121454328C(n-5) - 257605674C(n-6) + 257605674C(n-7) - 121454328C(n-8) + 26475880C(n-9) - 2537296C(n-10) + 95656C(n-11) - 1165C(n-12) + C(n-13). This the EIS sequence A003739.
For CST13 we found C(1) = 0, C(2) = 208, C(3) = 0, C(4) = 335344, C(5) = 0, C(6) = 503672968, C(7) = 0, C(8) = 757005488704, C(9) = 0, C(10) = 1137734095903816, C(11) = 0, C(12) = 1709944335224262352, C(13) = 0, C(14) = 2569941155563565968488, C(15) = 0, C(16) = 3862463470575397280285088, C(17) = 0, C(18) = 5805045002479537990606632936, C(19) = 0, C(20) = 8724625549856078166453269723376, C(21) = 0, C(22) = 13112575518826856642901203139743240, C(23) = 0, C(24) = 19707394403851935411114869745719526144, C(25) = 0, C(26) = 29619001517386258600018494299567252781896, C(27) = 0, C(28) = 44515537310983054901068606912734277302893072, C(29) = 0, C(30) = 66904114270101652083096747543361961556161338280, C(31) = 0, C(32) = 100552768239022085083137539569611934600600485769824, C(33) = 0, C(34) = 151124625306471850563573728012268031905685321872309416, C(35) = 0, C(36) = 227131015624872535892492790329036203871753015873169846576, C(37) = 0, C(38) = 341363944851262010688127945467040823127463725134532755058760, C(39) = 0, C(40) = 513049010606610528824074852666729120665123598849369486838352320, C(41) = 0, C(42) = 771081103480659083177648561305159418338110532879217116850112505608, C(43) = 0, C(44) = 1158887466602766746036049127283646002598030062997458201209529788050000, and C(n) = 1498C(n-2) + 9727C(n-4) - 3430420C(n-6) - 51780334C(n-8) + 2175631056C(n-10) - 3049771912C(n-12) + 20785260864C(n-14) - 885420351008C(n-16) + 2723994857536C(n-18) + 5274700679360C(n-20) + 125883661338368C(n-22) + 354089303896576C(n-24) - 880465464686592C(n-26) - 28529345908736C(n-28) + 3938132497694720C(n-30) - 1757770863747072C(n-32) - 1334108047147008C(n-34) - 337906312937472C(n-36) - 49853396680704C(n-38) - 3371549327360C(n-40) . This is the EIS sequence A003740.
For CDT we found C(1) = 0, C(2) = 40, C(3) = 0, C(4) = 2197, C(5) = 0, C(6) = 121735, C(7) = 0, C(8) = 6748096, C(9) = 0, C(10) = 374079619, C(11) = 0, C(12) = 20737143595, and C(n) = 65C(n-2) - 548C(n-4) + 995C(n-6) - 548C(n-8) + 65C(n-10) - C(n-12). This is the EIS sequence A003741.
For C2F we found C(1) = 6, C(2) = 327, C(3) = 11040, C(4) = 406731, C(5) = 14683587, C(6) = 532938234, and C(n) = 26C(n-1) + 396C(n-2) - 707C(n-3) - 6539C(n-4) + 7239C(n-5) - 405C(n-6). This is the EIS sequence A003742.
For CHC we found C(1) = 6, C(2) = 204, C(3) = 4152, C(4) = 90012, C(5) = 1916640, C(6) = 41086080, and C(n) = 16C(n-1) + 136C(n-2) - 460C(n-3) + 432C(n-4) + 256C(n-5). This is the EIS sequence A003743.
For CHP we found C(1) = 36, C(2) = 3960, C(3) = 197172, C(4) = 8372376, C(5) = 313590732, C(6) = 10961493288, C(7) = 364496212992, C(8) = 11715923002644, C(9) = 367218115613412, C(10) = 11297962590845364, C(11) = 342721436917704060, C(12) = 10284809936813182116, C(13) = 306078425919342660924, C(14) = 9050314137435866812308, C(15) = 266262758895847900204044, C(16) = 7802857128214786920966468, C(17) = 227964188131745757879553596, C(18) = 6644168196971243295712163700, C(19) = 193287318120848681996183075244, C(20) = 5614785173559337471057013732388, C(21) = 162918194408431653609336890189340, C(22) = 4723043996602440520832973512325972, C(23) = 136828273928341927052870400623002380, and C(n) = 59C(n-1) - 731C(n-2) - 11403C(n-3) + 204688C(n-4) + 697232C(n-5) - 13575824C(n-6) + 15466532C(n-7) + 288258520C(n-8) - 1327022000C(n-9) + 1631290560C(n-10) + 3212771840C(n-11) - 12023726208C(n-12) + 9649896000C(n-13) + 11298643072C(n-14) - 24109594624C(n-15) + 6239014400C(n-16) + 14028280832C(n-17) - 8564428800C(n-18) - 2763866112C(n-19) + 2175729664C(n-20) + 199229440C(n-21) - 150994944C(n-22). This is the EIS sequence A003744.
For CST we found C(1) = 75, C(2) = 128625, C(3) = 199065600, C(4) = 307147367625, C(5) = 473862674071875, C(6) = 731065883885568000, C(7) = 1127873690900648512275, C(8) = 1740060755637940344737625, C(9) = 2684530596730102104276172800, C(10) = 4141639595826420381196730390625, C(11) = 6389637936182136443437702024647675, C(12) = 9857804381781389757863771375665152000, and C(n) = 1658C(n-1) - 181550C(n-2) + 5888220C(n-3) - 62080666C(n-4) + 239268670C(n-5) - 370616134C(n-6) + 239268670C(n-7) - 62080666C(n-8) + 5888220C(n-9) - 181550C(n-10) + 1658C(n-11) - C(n-12). This the EIS sequence A003745.
For CST13 we found C(1) = 0, C(2) = 540, C(3) = 0, C(4) = 1751352, C(5) = 0, C(6) = 5386703316, C(7) = 0, C(8) = 16582103036544, C(9) = 0, C(10) = 51045000577926816, C(11) = 0, C(12) = 157132783947988296192, C(13) = 0, C(14) = 483704801377335372564480, C(15) = 0, C(16) = 1488997578825205151673656448, C(17) = 0, C(18) = 4583609224965381313988566950144, C(19) = 0, C(20) = 14109810402621649533503234558344704, C(21) = 0, C(22) = 43434494483860386599671308650864330496, C(23) = 0, C(24) = 133705220498070622788909783421076412386304, C(25) = 0, C(26) = 411587292562609297454750726054600269987912704, C(27) = 0, C(28) = 1266996896366237649178359003459366628005457649664, C(29) = 0, C(30) = 3900220352788196660232362097608501848215326938755072, C(31) = 0, C(32) = 12006121596612176283154633057320394687803565435297505280, C(33) = 0, C(34) = 36958669704287162536274146164634194441880201040907341168640, C(35) = 0, C(36) = 113770567399219775084499535791661980035376168565367523333734400, C(37) = 0, C(38) = 350222075358923174025212352063864697242943327666094722900436582400, C(39) = 0, C(40) = 1078095195203820521745918151197065855397382661823414208194364252422144, C(41) = 0, C(42) = 3318720696661962582358070874565591095886422622888933137425721520537337856, and C(n) = 2976C(n-2) + 311460C(n-4) + 10745408C(n-6) + 185361600C(n-8) - 11015685472C(n-10) - 384432909824C(n-12) + 12586530486400C(n-14) - 142686379766272C(n-16) + 471457558327040C(n-18) + 3354655475796480C(n-20) - 12936942677605376C(n-22) + 29721236628888576C(n-24) - 167487137019375616C(n-26) - 745271272714235904C(n-28) + 1043959728550182912C(n-30) - 1512329782916284416C(n-32) + 206265260306202624C(n-34) + 59399388450127872C(n-36) + 26359905185169408C(n-38) + 154793410560000C(n-40). This is the EIS sequence A003746.
For CDT we found C(1) = 0, C(2) = 56, C(3) = 0, C(4) = 4181, C(5) = 0, C(6) = 313501, and C(n) = 76C(n-2) - 76C(n-4) + C(n-6). This is the EIS sequence A003747.
For C2F it is known that C(1) = 12, C(2) = 814, C(3) = 41278, and C(n) = 47C(n-1) + 288C(n-2) - 436C(n-3). This is the EIS sequence A003748.
For CHC it is known that C(1) = 12, C(2) = 480, C(3) = 13440, and C(n) = 28C(n-1) + 12C(n-2). This is the EIS sequence A003749.
For CHP we found C(1) = 60, C(2) = 8760, C(3) = 617400, C(4) = 36021240, C(5) = 1871009400, C(6) = 90539967480, C(7) = 4181860331640, C(8) = 187073020183800, and C(n) = 95C(n-1) - 2854C(n-2) + 23880C(n-3) + 97152C(n-4) + 29616C(n-5) - 19296C(n-6) - 6912C(n-7). This is the EIS sequence A003750.
For CST we found C(1) = 125, C(2) = 300125, C(3) = 663552000, C(4) = 1464514260125, C(5) = 3232184906328125, and C(n) = 2255C(n-1) - 105985C(n-2) + 105985C(n-3) - 2255C(n-4) + C(n-5). This the EIS sequence A003751.
For CST13 we found C(1) = 0, C(2) = 1320, C(3) = 0, C(4) = 8872800, C(5) = 0, C(6) = 57159820320, C(7) = 0, C(8) = 368270723329920, C(9) = 0, C(10) = 2372720981421121920, C(11) = 0, C(12) = 15287133546258050856960, C(13) = 0, C(14) = 98493019073706019959014400, and C(n) = 6288C(n-2) + 990168C(n-4) + 49284576C(n-6) - 334385280C(n-8) - 782880768C(n-10) - 34504704C(n-12). This the EIS sequence A092088.
For CDT it is known that C(1) = 1, C(2) = 13, C(3) = 41, C(4) = 281, C(5) = 1183, C(6) = 6728, C(7) = 31529, C(8) = 167089, C(9) = 817991, C(10) = 4213133, C(11) = 21001799, C(12) = 106912793, C(13) = 536948224, C(14) = 2720246633, and C(n) = 40C(n-2) - 416C(n-4) + 1224C(n-6) - 1224C(n-8) + 416C(n-10) - 40C(n-12) + C(n-14). This the EIS sequence A028468. See also page 292 of Enumerative Combinatorics I by Stanley, and Computation of matching polynomials and the number of 1-factors in polygraphs by P.H. Lundow, Research report, No 12, 1996, Department of Math., Umea University, Sweden.
For C2F we found C(1) = 0, C(2) = 5, C(3) = 9, C(4) = 222, C(5) = 1140, C(6) = 13903, C(7) = 99051, C(8) = 972080, C(9) = 7826275, C(10) = 71053230, C(11) = 599141127, C(12) = 5285091303, C(13) = 45349095730, and C(n) = 5C(n-1) + 49C(n-2) - 116C(n-3) - 363C(n-4) + 627C(n-5) + 544C(n-6) - 1061C(n-7) + 133C(n-8) + 264C(n-9) - 47C(n-10) - 26C(n-11) + 3C(n-12) + C(n-13). This the EIS sequence A145400.
For CHC we found C(1) = 0, C(2) = 1, C(3) = 4, C(4) = 37, C(5) = 154, C(6) = 1072, C(7) = 5320, C(8) = 32675, C(9) = 175294, C(10) = 1024028, C(11) = 5668692, C(12) = 32463802, C(13) = 181971848, C(14) = 1033917350, and C(n) = 5C(n-1) + 14C(n-2) - 63C(n-3) + 12C(n-4) + 90C(n-5) - 35C(n-6) - 66C(n-7) + 118C(n-8) - 8C(n-9) - 82C(n-10) + 42C(n-11) + 28C(n-12) - 4C(n-13) + 2C(n-14). This the EIS sequence A145401.
For CHP we found C(1) = 1, C(2) = 32, C(3) = 336, C(4) = 3610, C(5) = 26996, C(6) = 229348, C(7) = 1620034, C(8) = 12071462, C(9) = 82550864, C(10) = 572479244, C(11) = 3808019582, C(12) = 25304433030, C(13) = 164452629818, C(14) = 1062773834046, C(15) = 6777328517896, C(16) = 42944798886570, C(17) = 269706791277978, C(18) = 1683956271732804, C(19) = 10445800698724066, C(20) = 64470330298173718, C(21) = 395897522698282286, C(22) = 2420749668624155028, C(23) = 14741571247786709466, C(24) = 89447754587186752880, C(25) = 540909580270642216184, C(26) = 3260975024920004797886, C(27) = 19603264739475883828250, C(28) = 117535292246105965344402, C(29) = 702983297060391275320674, C(30) = 4195042347314462259387726, C(31) = 24980876927077036352497846, C(32) = 148464009996932386776347700, C(33) = 880707004017612847924259248, C(34) = 5215420679738577795138490934, C(35) = 30834760633856575156452382482, C(36) = 182023498007552212356684065702, C(37) = 1072972236367114378051620861906, C(38) = 6316249249418550181323339914312, C(39) = 37134062572498215721937773361536, C(40) = 218051132007975699439608964043686, C(41) = 1278924289541599039994748939762698, C(42) = 7493036503222763128308036204327090, C(43) = 43855232912288598091280957567317138, C(44) = 256423555783154700433887417619421624, C(45) = 1497918400614505853772957830953728084, C(46) = 8742417758783236009320473613706164242, C(47) = 50980753991185396911892104402542597300, C(48) = 297049767387363496159117043578774571768, C(49) = 1729483126062016056698341476811920043190, C(50) = 10061957740464282187277644019379162526042, C(51) = 58498089362489651097823398471920941376576, C(52) = 339865477124939798823285486749575905998484, C(53) = 1973290245189981312766904756242136209547628, C(54) = 11449989363254903809753791687579863537639720, C(55) = 66398822904132302559004628977298456048581670, C(56) = 384828501289828058123250759256477195017480544, C(57) = 2229130151423292359561588373019497378537925992, C(58) = 12905482139945922274784040177595268953037073624, C(59) = 74677955664287358865759062006694983588023954498, C(60) = 431915003338650359662602332507443189042771688396, C(61) = 2496891766448143216725256893169977311172853631046, C(62) = 14427934830066558764818145273279632345264418663372, C(63) = 83333332226513722399850184075678751393221737658288, C(64) = 481116428456080286842307490567864574954881424751814, C(65) = 2776546160822559430889344961278132230852625276213456, C(66) = 16017287920159426224268234271939994702068236683096952, C(67) = 92365173104462405690384888989423493983021289807825804, C(68) = 532437005265425572947418165685557519144407566379788188, C(69) = 3068133207157035228673454978373479636659816379514577634, C(70) = 17673852322813372031623824236311245801227744874201505726, C(71) = 101775693863391958840045017910039901591690632344440430420, C(72) = 585891711340413211170711537425939102874247508518247861486, C(73) = 3371750713444109990037815937074468501619571038412857335812, C(74) = 19398251338784221478821801406177362259804056900563670388806, C(75) = 111568795166378500936134915873346624423853693744624963980094, C(76) = 641504617998364195219904173061021504434944205595353347826434, C(77) = 3687545584633992227002524686539727550037079894386915761864398, C(78) = 21191373465544351313564008839832091162448835237173224697058876, C(79) = 121749810823805837552440067819429634654060015970691974416839648, C(80) = 699307545280466430615312828047674566576438562745475964475819206, C(81) = 4015706643021649684623778140868657341335861754220230902896008358, C(82) = 23054334076887448042148612357995502957762056159889516154348493888, C(83) = 132325303284215702408282792115957397429549544294052046667316933024, C(84) = 759338970645831460803214242692994927457861759055035612014096168552, C(85) = 4356458805495707975500370782695432571275910254201456402839379528946, C(86) = 24988444359124623229107744283670243331720724254595280823991552991342, C(87) = 143302897934402302882116650096754970142662529653753598056050316770284, C(88) = 821643145225604646061901571450963815349943846407622019407540341354616, C(89) = 4710058370878465868959527620867955712709564866281083454929514852175614, C(90) = 26995186184460869210022072263346128180529395341521512801342492720405190, C(91) = 154691149154274176889598244154350780798358396944900226522881927956659924, C(92) = 886269379919108177564957910048500536178199765464663501388525940521397992, C(93) = 5076789215691537669631156752154537081293123676966123332888421538853542472, C(94) = 29076191843316870247359219485871781206517693488359111690563685979512648414, C(95) = 166499432361553419788395309422566612182648297248726066041877141415208791710, C(96) = 953271470509106369243543177926418983012312059921495414261416813755999417854, C(97) = 5456959733549075872001836202918114004175794416738296412041775876328443267258, C(98) = 31233227754487763526217128218054510752349852159351550242516916958065672040014, C(99) = 178737857335396135203660185992957708646273101994964328871350864581662287530370, C(100) = 1022707236608978622068432717505248432291457856084068284186568399312410331810432, C(101) = 5850900383513940954015281710556649941940025405781617483344419093753387423268476, C(102) = 33468181433150354888869904159114084742899324754034502110186114491065110022122200, C(103) = 191417198969507319320956593661939446623346523402513085476986313087536811166538340, C(104) = 1094638153860869625943819331139931221040188338780796056412326567943248472793958802, C(105) = 6258961737381454735273349796913292077792628144412979236476938336513611161598106484, C(106) = 35783051128420195492190011308019977156783612836787052747056431871076609691613022114, C(107) = 204548842309454453799711455219719889854673842730363951318743553233576097299212795442, C(108) = 1169129062568797296815375785441355037443753860572032657679922002274550424865242854058, C(109) = 6681512935985943406141450744800377135890211100687009159899691906982317042322945933878, C(110) = 38179937649795944235517484796055369991364169688382876782534932718852621580273012573744, C(111) = 218144739304402718284564940871623373450822675202683480252794642639223263633040021474644, C(112) = 1246247939027939105743088329254213268501907434596141236813634178402005420740542450380628, C(113) = 7118940481078978742024557769284517384845837781593976384711468911293459232187437799337060, C(114) = 40661037989804834153982399053378750204939616883988496050793347784222242778432371696180884, C(115) = 232217375173896510618659626810822796515204095972361739279486086828120095100766924292818294, C(116) = 1326065718326514761447186285188646030881583149366368223603447347470451333312359990991549570, and C(n) = 33C(n-1) - 393C(n-2) + 1170C(n-3) + 16754C(n-4) - 164617C(n-5) + 168322C(n-6) + 4799822C(n-7) - 23163595C(n-8) - 37721142C(n-9) + 600188299C(n-10) - 961703543C(n-11) - 7272206245C(n-12) + 30652525711C(n-13) + 27150112504C(n-14) - 406244319529C(n-15) + 480827117765C(n-16) + 2953483339807C(n-17) - 8985485328915C(n-18) - 8726841020211C(n-19) + 76359542983674C(n-20) - 51411687550669C(n-21) - 383142786980539C(n-22) + 769376710831963C(n-23) + 983504604086104C(n-24) - 4703988662134811C(n-25) + 1019144283245342C(n-26) + 17567564471258435C(n-27) - 21628609429447372C(n-28) - 39047561134742949C(n-29) + 105510774111014965C(n-30) + 21549266915229072C(n-31) - 312479090849851496C(n-32) + 203108186553616885C(n-33) + 603350961560577622C(n-34) - 932935395828098489C(n-35) - 616494505988563931C(n-36) + 2354671848385377084C(n-37) - 440129521587803560C(n-38) - 4025074369990975795C(n-39) + 3383359137577459958C(n-40) + 4524502583073183363C(n-41) - 8084316522568907228C(n-42) - 2000061549048744508C(n-43) + 12710939428078341415C(n-44) - 4333420899536278176C(n-45) - 14287280072219346302C(n-46) + 12897812849694072664C(n-47) + 10635043132409181759C(n-48) - 20121836247512783757C(n-49) - 2202029990005820642C(n-50) + 22530069641124845960C(n-51) - 7891916625415123185C(n-52) - 18920106775493172422C(n-53) + 15668168834118829712C(n-54) + 10967729897465381103C(n-55) - 18494624437114481188C(n-56) - 2065202418569179366C(n-57) + 16226881294479560421C(n-58) - 4583751833861649976C(n-59) - 10856722405314168245C(n-60) + 7442713492418171069C(n-61) + 5123463906533577867C(n-62) - 6977981353490105342C(n-63) - 1007944379242231618C(n-64) + 4832178425594778403C(n-65) - 966351046903429852C(n-66) - 2583974909058260734C(n-67) + 1371059307640140741C(n-68) + 1025598109986396178C(n-69) - 1054651664720734468C(n-70) - 224161153417985705C(n-71) + 604947327252110406C(n-72) - 68469700394312381C(n-73) - 269654457078878847C(n-74) + 111988757467772581C(n-75) + 87394849743853131C(n-76) - 74501889603770590C(n-77) - 14209663463684077C(n-78) + 34158937071201779C(n-79) - 4582941944236689C(n-80) - 11444460858858639C(n-81) + 5000095099800696C(n-82) + 2563966731017246C(n-83) - 2451346143506823C(n-84) - 130306682773908C(n-85) + 826961146658453C(n-86) - 208781411975348C(n-87) - 184972404092705C(n-88) + 118414958556749C(n-89) + 13754378300437C(n-90) - 35837701864283C(n-91) + 8178737057414C(n-92) + 5877631567661C(n-93) - 3755468753597C(n-94) - 22088646996C(n-95) + 749500012384C(n-96) - 234388451540C(n-97) - 54941696376C(n-98) + 54134588620C(n-99) - 8377519672C(n-100) - 4771746736C(n-101) + 2428864324C(n-102) - 169609016C(n-103) - 198646044C(n-104) + 72401124C(n-105) - 3896980C(n-106) - 4402412C(n-107) + 1505256C(n-108) - 152572C(n-109) - 37876C(n-110) + 17344C(n-111) - 3248C(n-112) + 336C(n-113) - 16C(n-114). This the EIS sequence A145402.
For CPFT we found C(1) = 1, C(2) = 32, C(3) = 414, C(4) = 5382, C(5) = 79384, C(6) = 1262816, C(7) = 20562673, C(8) = 336067810, C(9) = 5493330332, C(10) = 89803472792, C(11) = 1468381290905, C(12) = 24012936982592, C(13) = 392716580997352, C(14) = 6422777815120738, C(15) = 105043595925333255, C(16) = 1717976646746942760, C(17) = 28097347987645295129, C(18) = 459529700981496318610, C(19) = 7515570007661530339293, C(20) = 122916531487036730334780, C(21) = 2010289859051351461718841, C(22) = 32878127252299185360551934, C(23) = 537719101299048122399217869, C(24) = 8794352250919537166665750722, C(25) = 143830917261013287829855929053, C(26) = 2352342978307852368872254574110, C(27) = 38472378495706095194731534070125, C(28) = 629212627935457125950913558054726, C(29) = 10290721464101586255448326254366900, C(30) = 168303914369885958800758915526318474, C(31) = 2752596860300114955964065429361536989, C(32) = 45018498254837163421818726088041699166, C(33) = 736273885345044284085688553892457204990, C(34) = 12041699640279371326340375422350041719446, C(35) = 196941020336151050199143987475335247318191, C(36) = 3220954404252653214796052011262240269847376, C(37) = 52678447875240888447093955411712504021593807, C(38) = 861551739720563513304275975426292082337631174, C(39) = 14090608781288751611582325118090142798190478571, C(40) = 230450763051941815978795941071686604125891198442, C(41) = 3769003526784804976816338101329440702079133017666, C(42) = 61641746795668086369885223391335280193549793452454, C(43) = 1008145766120479656207584228935637479155797947389803, C(44) = 16488142185777157345793212901099082094584264689337958, C(45) = 269662227303264323330785234671779693565559562284410182, C(46) = 4410303842290033896172439105038616399715156984924650402, C(47) = 72130161409086529608951854829851816002712963801157839787, C(48) = 1179682935903881340573479585181430128337758733576064749582, C(49) = 19293618675966098340238272567572020098236154654850930308513, C(50) = 315545567613362204775242670274937424600545170340425654393866, C(51) = 5160722149260222882522006042304141173305206572051170726255899, C(52) = 84403191917113277982043589954202883741227100622483260510931370, C(53) = 1380407353807693358300087458031214954879276213089038340492802025, C(54) = 22576450240384821778027453624243941724086228917427154372144432134, C(55) = 369236011421291236034279467148078460540271871269615690271797866884, C(56) = 6038825000328308509532140773346231121610228947574581160028281180694, C(57) = 98764492781235197642079658639806209320318476451903082795917783012815, C(58) = 1615285263905535856420093270568679674123758786480792514826877881411406, C(59) = 26417859397806804999115463757296013189790610675906972739777532953432044, C(60) = 432061946429732109168468779744829065082966074684439846926537350314283068, C(61) = 7066338068562305854471591381542565889032938460560686542553098493028726504, C(62) = 115569385621266871108822160868123881005301075723863358645704767187297221382, C(63) = 1890127922452274019805513045202943498801049603564334398540115110078021072823, C(64) = 30912888772650264652219507061031956074793682526018605864614278139682619190156, C(65) = 505577787047572692090462300937222384232557420150184666960671714745016065033080, C(66) = 8268683675466366377840360356400869587932159727058836866913105126545228412490614, C(67) = 135233650442183190541354312834185782890515070868821995834750746327337159470828189, C(68) = 2211735377685386523121420331929400511514963984542634134765620183963171569729235278, C(69) = 36172752601960652644405183597210303325660884461711588396278289372424954431031849588, C(70) = 591602433095763079343906237098879371053254029141187068993235175242965360620853115872, C(71) = 9675609779993804523757669609814376179537455425273511736449480229116222799072745849896, C(72) = 158243812698379899306192927052283225599988748265808627411791715806385192535377775606282, C(73) = 2588064713926068829323899654190495449456281961482820545222829156707671713277546826822289, C(74) = 42327588354029840959980586262134563828846542737714855516560279055906134220418117167021544, C(75) = 692264272306516416237168808269386146006151827583985698688727056187756308291243240771646474, and C(n) = 76C(n-1) - 2640C(n-2) + 55984C(n-3) - 812934C(n-4) + 8556872C(n-5) - 67099242C(n-6) + 393958772C(n-7) - 1692942183C(n-8) + 4884527404C(n-9) - 6187506869C(n-10) - 19086405626C(n-11) + 128174201130C(n-12) - 327127420664C(n-13) + 297315119122C(n-14) + 743733332720C(n-15) - 3157843190533C(n-16) + 5268656094548C(n-17) - 3941342671128C(n-18) - 3509217289604C(n-19) + 25691997627302C(n-20) - 79177609422932C(n-21) + 124810724415142C(n-22) + 32165552119276C(n-23) - 559590816744166C(n-24) + 954577325227640C(n-25) + 45695215480520C(n-26) - 2489003696662264C(n-27) + 3079811130140804C(n-28) + 1436343394106164C(n-29) - 6800600057977368C(n-30) + 3717237179493356C(n-31) + 6652945245605814C(n-32) - 9432540370407444C(n-33) - 2036411447626966C(n-34) + 12103828254803672C(n-35) - 3892070556133820C(n-36) - 11936409494863372C(n-37) + 8331936811395842C(n-38) + 10790544774261660C(n-39) - 9791814381222907C(n-40) - 9774483491028244C(n-41) + 8082925131170466C(n-42) + 8591527532922680C(n-43) - 4558074323604317C(n-44) - 6507699416893516C(n-45) + 1335741921421883C(n-46) + 3811541403121978C(n-47) + 265590026556815C(n-48) - 1596050169969560C(n-49) - 489317457105434C(n-50) + 441751378351184C(n-51) + 251839358248300C(n-52) - 69448285619300C(n-53) - 76332173161850C(n-54) + 1539583576296C(n-55) + 15557344027403C(n-56) + 2097787252080C(n-57) - 2266145094960C(n-58) - 598133889956C(n-59) + 240729252424C(n-60) + 98573852340C(n-61) - 17808243041C(n-62) - 11420445450C(n-63) + 718791367C(n-64) + 980442116C(n-65) + 34587845C(n-66) - 51217686C(n-67) - 4961985C(n-68) + 1519440C(n-69) + 196028C(n-70) - 26928C(n-71) - 3486C(n-72) + 308C(n-73) + 25C(n-74) - 2C(n-75). This the EIS sequence A145403.
For CDT we found C(1) = 8, C(2) = 137, C(3) = 2016, C(4) = 30521, C(5) = 459544, C(6) = 6926545, and C(n) = 12C(n-1) + 47C(n-2) - 8C(n-3) - 47C(n-4) + 12C(n-5) + C(n-6). This the EIS sequence A145404.
For C2F we found C(1) = 20, C(2) = 2984, C(3) = 340852, C(4) = 40071100, C(5) = 4696965476, C(6) = 550730736140, and C(n) = 113C(n-1) + 585C(n-2) - 10329C(n-3) + 17644C(n-4) + 3148C(n-5) - 8496C(n-6). This the EIS sequence A145405.
For CHC we found C(1) = 16, C(2) = 1568, C(3) = 105080, C(4) = 7178840, C(5) = 490094648, C(6) = 33459179864, C(7) = 2284284179000, C(8) = 155949857160056, C(9) = 10646817995958872, and C(n) = 76C(n-1) - 542C(n-2) + 936C(n-3) + 2987C(n-4) - 9940C(n-5) + 4896C(n-6) + 9600C(n-7) - 8192C(n-8). This the EIS sequence A145406.
For CHP we found C(1) = 120, C(2) = 41280, C(3) = 6641952, C(4) = 886927344, C(5) = 105209243232, and C(n) = 350C(n-1) - 22608C(n-2) - 17280C(n-3) + 843264C(n-4). This the EIS sequence A145407.
For CST13 we found C(1) = 24, C(2) = 6048, C(3) = 1431936, C(4) = 326820576, C(5) = 74610584016, C(6) = 17042758679136, C(7) = 3892782584508480, C(8) = 889156265863827264, C(9) = 203093678317841507424, C(10) = 46388970280261506291456, C(11) = 10595782951389630699006144, C(12) = 2420200657566556505910445056, C(13) = 552802114842508189665069539328, C(14) = 126266463574145216525332543882752, C(15) = 28840735944058922301478239666093696, C(16) = 6587561148465308380773642743145878016, C(17) = 1504675954488241136540734409327760801024, C(18) = 343685573004895910322683065681242613824000, C(19) = 78501801493782514393269579891334793783725056, C(20) = 17930728904007407186715098489007832537944898560, C(21) = 4095588036339152450673664069192988041090603630080, C(22) = 935480172234132922409579369697482180561394428018688, C(23) = 213674604202973780616456330975690211137136284005071872, C(24) = 48805776794027507492059897929493900401349262859294019584, C(25) = 11147809808065542806068516072966273546419446268999208919040, C(26) = 2546290043518168376834989430543237695836588812241991243628544, C(27) = 581602404180668450165151946330917571438380808408493632503515136, C(28) = 132844786244917841301527538905934215543556848752364451671176863744, C(29) = 30343301722280768281510520455705056105378106879356525016733484257280, and C(n) = 188C(n-1) + 7998C(n-2) + 259876C(n-3) + 4850072C(n-4) + 22611752C(n-5) - 292045860C(n-6) - 2811308992C(n-7) - 5710829000C(n-8) + 433981312C(n-9) + 78400774784C(n-10) + 212072291968C(n-11) + 563060463616C(n-12) + 1319709281280C(n-13) + 2571710809600C(n-14) + 902094094336C(n-15) - 1347718762496C(n-16) - 6119057686528C(n-17) + 5645245612032C(n-18) + 24549642993664C(n-19) - 31793514283008C(n-20) - 1125851856896C(n-21) - 5436031893504C(n-22) - 890735951872C(n-23) + 630487777280C(n-24) - 281320357888C(n-25). This the EIS sequence A145408.
For CDT it is known that C(1) = 15, C(2) = 376, C(3) = 8805, C(4) = 207901, and C(n) = 21C(n-1) + 62C(n-2) - 21C(n-3) - C(n-4). This the EIS sequence A145409.
For C2F it is known that C(1) = 70, C(2) = 24400, C(3) = 6912340, C(4) = 1997380720, and C(n) = 264C(n-1) + 7160C(n-2) - 31008C(n-3) - 10480C(n-4). This the EIS sequence A145410.
For CHC it is known that C(1) = 60, C(2) = 12000, C(3) = 1758360, and C(n) = 145C(n-1) + 516C(n-2) - 288C(n-3). This the EIS sequence A145411.
For CHP we found C(1) = 360, C(2) = 275040, C(3) = 102430080, C(4) = 31321626480, C(5) = 8516117133360, C(6) = 2155827631204800, C(7) = 520736224355831520, C(8) = 121804259414668451280, C(9) = 27852572730572966535120, C(10) = 6266130842526092431103520, and C(n) = 493C(n-1) - 76229C(n-2) + 3141623C(n-3) + 83807874C(n-4) + 375481728C(n-5) - 11713248C(n-6) - 1292308992C(n-7) + 1074456576C(n-8) - 238878720C(n-9). This the EIS sequence A145412.
For CST13 we found C(1) = 90, C(2) = 50400, C(3) = 28528560, C(4) = 15618720960, C(5) = 8555317093440, C(6) = 4687533591644160, C(7) = 2568304253243013120, C(8) = 1407173820392030238720, C(9) = 770990635166535068405760, C(10) = 422425827340189334775152640, C(11) = 231447142314556654419647815680, C(12) = 126809906538716706435229846241280, C(13) = 69479157253021351235506090834329600, and C(n) = 516C(n-1) + 14600C(n-2) + 1541184C(n-3) + 19457664C(n-4) + 56414208C(n-5) + 82785024C(n-6) + 219608064C(n-7) - 213166080C(n-8) + 173408256C(n-9) + 21233664C(n-10). This the EIS sequence A145413.
For CPFT we found C(1) = 325, C(2) = 28506, C(3) = 12139576, C(4) = 5844687696, C(5) = 2760949256856, C(6) = 1307471887123416, C(7) = 618956724210141816, C(8) = 293027167159964445816, C(9) = 138724393741836055216056, and C(n) = 426C(n-1) + 23541C(n-2) - 517674C(n-3) + 77868C(n-4) + 101434248C(n-5) - 276637248C(n-6) + 207532800C(n-7) - 24883200C(n-8). This the EIS sequence A145414.
For CDT we found C(1) = 0, C(2) = 21, C(3) = 0, C(4) = 781, C(5) = 0, C(6) = 31529, C(7) = 0, C(8) = 1292697, C(9) = 0, C(10) = 53175517, C(11) = 0, C(12) = 2188978117, C(13) = 0, C(14) = 90124167441, C(15) = 0, C(16) = 3710708201969, and C(n) = 56C(n-2) - 672C(n-4) + 2632C(n-6) - 4094C(n-8) + 2632C(n-10) - 672C(n-12) + 56C(n-14) - C(n-16). This the EIS sequence A028469. See also Computation of matching polynomials and the number of 1-factors in polygraphs by P.H. Lundow, Research report, No 12, 1996, Department of Math., Umea University, Sweden.
For C2F we found C(1) = 0, C(2) = 8, C(3) = 0, C(4) = 779, C(5) = 0, C(6) = 99051, C(7) = 0, C(8) = 13049563, C(9) = 0, C(10) = 1729423756, C(11) = 0, C(12) = 229435550806, C(13) = 0, C(14) = 30443972466433, C(15) = 0, C(16) = 4039769151988768, C(17) = 0, C(18) = 536061241088972481, and C(n) = 171C(n-2) - 5496C(n-4) + 56617C(n-6) - 240021C(n-8) + 457923C(n-10) - 420254C(n-12) + 186912C(n-14) - 37569C(n-16) + 2584C(n-18). This the EIS sequence A145415.
For CHC we found C(1) = 0, C(2) = 1, C(3) = 0, C(4) = 92, C(5) = 0, C(6) = 5320, C(7) = 0, C(8) = 301384, C(9) = 0, C(10) = 17066492, C(11) = 0, C(12) = 966656134, C(13) = 0, C(14) = 54756073582, C(15) = 0, C(16) = 3101696069920, C(17) = 0, C(18) = 175698206778318, C(19) = 0, C(20) = 9952578156814524, C(21) = 0, C(22) = 563772503196695338, C(23) = 0, C(24) = 31935387285412942410, C(25) = 0, C(26) = 1809007988782552388490, C(27) = 0, C(28) = 102472842263117124008066, C(29) = 0, C(30) = 5804663918990466729365476, C(31) = 0, C(32) = 328810272735298761062754308, C(33) = 0, C(34) = 18625745945872429428768223714, C(35) = 0, C(36) = 1055071695766249759732087999456, and C(n) = 85C(n-2) - 1932C(n-4) + 20403C(n-6) - 116734C(n-8) + 386724C(n-10) - 815141C(n-12) + 1251439C(n-14) - 1690670C(n-16) + 2681994C(n-18) - 4008954C(n-20) + 3390877C(n-22) - 1036420C(n-24) - 178842C(n-26) + 92790C(n-28) + 17732C(n-30) - 5972C(n-32) + 1728C(n-34) + 144C(n-36). This the EIS sequence A145416.
For CDT we found C(1) = 1, C(2) = 34, C(3) = 153, C(4) = 2245, C(5) = 14824, C(6) = 167089, C(7) = 1292697, C(8) = 12988816, C(9) = 108435745, C(10) = 1031151241, C(11) = 8940739824, C(12) = 82741005829, C(13) = 731164253833, C(14) = 6675498237130, C(15) = 59554200469113, C(16) = 540061286536921, C(17) = 4841110033666048, C(18) = 43752732573098281, C(19) = 393139145126822985, C(20) = 3547073578562247994, C(21) = 31910388243436817641, C(22) = 287665106926232833093, C(23) = 2589464895903294456096, C(24) = 23333526083922816720025, C(25) = 210103825878043857266833, C(26) = 1892830605678515060701072, C(27) = 17046328120997609883612969, C(28) = 153554399246902845860302369, C(29) = 1382974514097522648618420280, C(30) = 12457255314954679645007780869, C(31) = 112199448394764215277422176953, C(32) = 1010618564986361239515088848178, and C(n) = 153C(n-2) - 7480C(n-4) + 151623C(n-6) - 1552087C(n-8) + 8933976C(n-10) - 30536233C(n-12) + 63544113C(n-14) - 81114784C(n-16) + 63544113C(n-18) - 30536233C(n-20) + 8933976C(n-22) - 1552087C(n-24) + 151623C(n-26) - 7480C(n-28) + 153C(n-30) - C(n-32). This the EIS sequence A028470. See also Computation of matching polynomials and the number of 1-factors in polygraphs by P.H. Lundow, Research report, No 12, 1996, Department of Math., Umea University, Sweden.
For C2F we found C(1) = 0, C(2) = 13, C(3) = 27, C(4) = 2953, C(5) = 24360, C(6) = 972080, C(7) = 13049563, C(8) = 360783593, C(9) = 6044482889, C(10) = 142205412782, C(11) = 2645920282312, C(12) = 57787769198498, C(13) = 1130122135817708, C(14) = 23838761889677477, C(15) = 477334902804794530, C(16) = 9905649696435264827, C(17) = 200572437515846530901, C(18) = 4130348948437378850158, C(19) = 84074883624291031055071, C(20) = 1725061733607816846672084, C(21) = 35201911945083165877105598, C(22) = 721041937227213471236222936, C(23) = 14731026760739434523775920272, C(24) = 301492247130186410656766864436, C(25) = 6162966556594442193757310209147, C(26) = 126086101870795129720839096783333, C(27) = 2578070083185284447937587182277129, C(28) = 52734387801729163635906223494385644, C(29) = 1078388240037660942562424414577181926, C(30) = 22056541466571843558470704997624920958, C(31) = 451070070689312442562501030339580527821, C(32) = 9225477593066296020350369342487285559224, C(33) = 188671988477305551144936342851950180268541, C(34) = 3858726953408688228729004487413425843715888, C(35) = 78916582053879579831149431468113368147807393, C(36) = 1613990623415047770881237325964870382681263773, C(37) = 33008659899083829723098251801948045543305771504, C(38) = 675085532254115719882540973806685632932538969963, C(39) = 13806606434855907791563611600265129790934630275875, C(40) = 282368982002683765432041412891639191366286828541983, C(41) = 5774916734695662624117282233886060904936699004411462, C(42) = 118106924720040350256778966063911938302901243885821967, C(43) = 2415485198293035324333076932461513145106982243926222725, and C(n) = 10C(n-1) + 397C(n-2) - 2280C(n-3) - 41718C(n-4) + 171740C(n-5) + 1774768C(n-6) - 6621030C(n-7) - 36498440C(n-8) + 142302403C(n-9) + 378226103C(n-10) - 1722824637C(n-11) - 1841136643C(n-12) + 11820333398C(n-13) + 2592291604C(n-14) - 47333298485C(n-15) + 11152811093C(n-16) + 115741226920C(n-17) - 56392421244C(n-18) - 180338596048C(n-19) + 113066783284C(n-20) + 185447332605C(n-21) - 129254123956C(n-22) - 129334594126C(n-23) + 92695904156C(n-24) + 62261558431C(n-25) - 43387609685C(n-26) - 20799137282C(n-27) + 13474013361C(n-28) + 4776521864C(n-29) - 2787760272C(n-30) - 734922053C(n-31) + 383508601C(n-32) + 72495666C(n-33) - 34918980C(n-34) - 4271202C(n-35) + 2078603C(n-36) + 129022C(n-37) - 77626C(n-38) - 773C(n-39) + 1644C(n-40) - 54C(n-41) - 15C(n-42) + C(n-43). This is the EIS sequence A145417.
For CHC we found C(1) = 0, C(2) = 1, C(3) = 8, C(4) = 236, C(5) = 1696, C(6) = 32675, C(7) = 301384, C(8) = 4638576, C(9) = 49483138, C(10) = 681728204, C(11) = 7837276902, C(12) = 102283239429, C(13) = 1220732524976, C(14) = 15513067188008, C(15) = 188620289493918, C(16) = 2365714170297014, C(17) = 29030309635705054, C(18) = 361749878496079778, C(19) = 4459396682866920534, C(20) = 55391169255983979555, C(21) = 684363209103066303906, C(22) = 8487168277379774266411, C(23) = 104976660007043902770814, C(24) = 1300854247070195164448395, C(25) = 16098959403506801921858124, C(26) = 199418506963731877069653608, C(27) = 2468612432237087475265791106, C(28) = 30572953033472980838613625389, C(29) = 378515201134457658578140498814, C(30) = 4687342384540802154353083423651, C(31) = 58036542374043013796287237537528, C(32) = 718661780960820074611282900026324, C(33) = 8898436384928204979882033571220340, C(34) = 110186062841343288284017151289070451, C(35) = 1364340857418682291195543074012508456, C(36) = 16893937354451697990213722467612836695, C(37) = 209185026496655279949634983839901418774, C(38) = 2590216891342324056714821054881440813215, C(39) = 32072851564440568180804318145788811014976, C(40) = 397138412927090582354377476417693090903768, C(41) = 4917498017559613255667946000320694921175130, C(42) = 60890272030773519479287882832089863209466478, C(43) = 753964042571110322417001735829736156594209380, C(44) = 9335854145287983656933756936219959893935498622, C(45) = 115599774527478742012501648761874199775452411672, C(46) = 1431397531309770867365502551162804883408923187965, C(47) = 17724063449625564471462425816551511960390740556400, C(48) = 219465622040057380709984287099015972930644329156424, C(49) = 2717500192865830096645192106030659520142409708395450, C(50) = 33649045694807090450997457881543310615794538874090382, C(51) = 416654292509213357722564031894407450765035835407734706, C(52) = 5159160169073567278327353311624938215272772058329334389, C(53) = 63882533593051394161814876759814129552293422016852019728, C(54) = 791016010339998093452532578418540484158488096782539430286, C(55) = 9794638258031421885388598947932945990242328205117007130718, C(56) = 121280656298395438005330895082043790844069204530565536980402, C(57) = 1501739723290424387359817153191514221861132297169144591119746, C(58) = 18595069417782079319375695239542203044044419158097555496277590, C(59) = 230250687548524273220393339819664989761608497977237213691651494, C(60) = 2851044985755900792432116853155397844049903269953868448269465911, C(61) = 35302641500328319561839557836179860373923985349499838565583491438, C(62) = 437129721450539018107540085474755888131298517879956664876467411931, C(63) = 5412693919496858591306748921846182243342130551030595689565457284562, C(64) = 67021879478670244241238920776850020175011969240135534404057401625317, C(65) = 829888479044613035646707314461069153586129302554576136417149736843676, C(66) = 10275970973805259625689798376883875013812168498330812425399678612679778, and C(n) = 16C(n-1) + 59C(n-2) - 1824C(n-3) + 3898C(n-4) + 55218C(n-5) - 243282C(n-6) - 545916C(n-7) + 4861689C(n-8) - 2576498C(n-9) - 43488068C(n-10) + 94333210C(n-11) + 141446298C(n-12) - 752431432C(n-13) + 377840445C(n-14) + 2789611474C(n-15) - 4656548198C(n-16) - 5258354388C(n-17) + 18170944298C(n-18) + 3512822542C(n-19) - 45026326037C(n-20) + 9980240588C(n-21) + 84208620015C(n-22) - 44876200668C(n-23) - 121497215791C(n-24) + 102246696772C(n-25) + 117755621290C(n-26) - 145213823124C(n-27) - 60571088405C(n-28) + 136877858022C(n-29) + 3649170978C(n-30) - 100110796416C(n-31) + 42689760462C(n-32) + 39482359310C(n-33) - 72614614806C(n-34) + 27495494908C(n-35) + 40732692257C(n-36) - 38863698070C(n-37) + 9092063794C(n-38) + 5076214026C(n-39) - 9600155591C(n-40) + 4294619636C(n-41) - 1463899423C(n-42) + 4331661320C(n-43) - 2669382577C(n-44) - 998576578C(n-45) + 1722204514C(n-46) - 1646502104C(n-47) + 1188567443C(n-48) - 143652474C(n-49) - 380794039C(n-50) - 27735814C(n-51) + 132682964C(n-52) + 79877148C(n-53) + 41238077C(n-54) - 16408310C(n-55) - 42867025C(n-56) - 18129698C(n-57) + 4261277C(n-58) + 4951334C(n-59) + 985598C(n-60) - 103168C(n-61) - 13629C(n-62) + 34282C(n-63) + 6952C(n-64) - 532C(n-65) + 36C(n-66). This is the EIS sequence A145418.