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A145404 Number of perfect matchings (or domino tilings) in O_6 X P_n. +0
1
8, 137, 2016, 30521, 459544, 6926545 (list; graph; listen)
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

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 Hamilton cycles in product graphs.

F. Faase, Results from the counting program

FORMULA

Recurrence:

a(1) = 8,

a(2) = 137,

a(3) = 2016,

a(4) = 30521,

a(5) = 459544,

a(6) = 6926545, and

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

CROSSREFS

Sequence in context: A024283 A134053 A136472 this_sequence A101388 A050789 A091060

Adjacent sequences: A145401 A145402 A145403 this_sequence A145405 A145406 A145407

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Feb 03 2009

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.


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