login

Revision History for A006865

(Bold, blue-underlined text is an ; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
Number of Hamiltonian cycles in P_5 X P_{2n}: a(n) = 11*a(n-1) + 2*a(n-3).
(history; published version)
#26 by Michael De Vlieger at Wed Feb 07 09:37:08 EST 2024
STATUS

proposed

#25 by Alois P. Heinz at Wed Feb 07 09:30:11 EST 2024
STATUS

editing

#24 by Alois P. Heinz at Wed Feb 07 09:29:42 EST 2024
NAME

Number of Hamiltonian cycles in P_5 X P_{2n}: a(n) = 11a(n-1)+2a(n-3).

FORMULA

G.f.: x*(1+3*x)/(1-11*x-2*x^3). [_Colin Barker_, Aug 29 2012]

STATUS

proposed

#23 by Michel Marcus at Wed Feb 07 09:27:21 EST 2024
STATUS

editing

#22 by Michel Marcus at Wed Feb 07 09:27:15 EST 2024
REFERENCES

Kwong, Y. H. H.; Enumeration of Hamiltonian cycles in P_4 X P_n and P_5 X P_n. Ars Combin. 33 (1992), 87-96.

Kwong, Y. H. H.; A Matrix Method for Counting Hamiltonian Cycles on Grid Graphs, European J. of Combinatorics 15 (1994), 277-283.

LINKS

#21 by Michel Marcus at Wed Feb 07 09:24:22 EST 2024
LINKS

<a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (11,0,2).

STATUS

approved

#20 by N. J. A. Sloane at Tue Jan 01 06:31:05 EST 2019
LINKS

F. Faase, <a href="http://www.iwriteiam.nl/counting.html">Counting Hamilton cycles in product graphs</a>

Discussion
Tue Jan 01
06:31
OEIS Server: https://oeis.org/edit/global/2784
#19 by Charles R Greathouse IV at Sat Jun 13 00:48:21 EDT 2015
LINKS

<a href="/index/Rec">Index to sequences with linear recurrences with constant coefficients</a>, signature (11,0,2).

Discussion
Sat Jun 13
00:48
OEIS Server: https://oeis.org/edit/global/2439
#18 by Charles R Greathouse IV at Fri Jun 12 15:23:06 EDT 2015
LINKS

<a href="/index/Rea#recLCC">Index to sequences with linear recurrences with constant coefficients</a>, signature (11,0,2).

Discussion
Fri Jun 12
15:23
OEIS Server: https://oeis.org/edit/global/2436
#17 by R. J. Mathar at Sun Dec 22 09:46:55 EST 2013
STATUS

editing