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A145411
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Number of Hamilton cycles in K_6 X P_n.
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0
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60, 12000, 1758360, 261136920, 38768711160, 5755703361240, 854506434905400, 126862210606868760, 18834288215839119480, 2796186594116563849560, 415129012549619965635000, 61631114827252880297037720
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| F. Faase, On the number of specific spanning subgraphs of the graphs G X P_n, Ars Combin. 49 (1998), 129-154.
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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
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FORMULA
| Recurrence:
a(1) = 60,
a(2) = 12000,
a(3) = 1758360, and
a(n) = 145a(n-1) + 516a(n-2) - 288a(n-3).
G.f.: 60x(1+55x-210x^2)/(1-145x-512x^2+288x^3). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 19 2009]
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CROSSREFS
| Sequence in context: A003750 A001525 A146513 * A184890 A113424 A009564
Adjacent sequences: A145408 A145409 A145410 * A145412 A145413 A145414
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Feb 03 2009
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EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 19 2009
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