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A145404 Number of perfect matchings (or domino tilings) in O_6 X P_n. 0
8, 137, 2016, 30521, 459544, 6926545, 104379840, 1573019185, 23705440040, 357242140889, 5383654944672, 81131924020457, 1222661758446136, 18425567948435617, 277674141464763264, 4184561857758579553, 63061536262455564872, 950340200711850811433 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

F. Faase, On the number of specific spanning subgraphs of the graphs G X P_n, Ars Combin. 49 (1998), 129-154.

LINKS

Table of n, a(n) for n=1..18.

F. Faase, On the number of specific spanning subgraphs of the graphs G X P_n, Preliminary version of paper that appeared in Ars Combin. 49 (1998), 129-154.

F. Faase, Counting Hamiltonian cycles in product graphs.

F. Faase, Results from the counting program

Index entries for linear recurrences with constant coefficients, signature (12,47,-8,-47,12,1).

FORMULA

For n>6, a(n) = 12a(n-1) + 47a(n-2) - 8a(n-3) - 47a(n-4) + 12a(n-5) + a(n-6).

G.f.: -x*(x^5 +12*x^4 -46*x^3 -4*x^2 +41*x +8)/(x^6 +12*x^5 -47*x^4 -8*x^3 +47*x^2 +12*x -1). [Colin Barker, Aug 23 2012]

CROSSREFS

Sequence in context: A024283 A134053 A136472 * A101388 A281684 A050789

Adjacent sequences:  A145401 A145402 A145403 * A145405 A145406 A145407

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Feb 03 2009

EXTENSIONS

More terms from Max Alekseyev, Jun 24 2011

STATUS

approved

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Last modified November 26 07:49 EST 2020. Contains 338632 sequences. (Running on oeis4.)