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Search: id:A145412
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| A145412 |
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Number of Hamiltonian paths in K_6 X P_n. |
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+0
1
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| 360, 275040, 102430080, 31321626480, 8516117133360, 2155827631204800, 520736224355831520, 121804259414668451280, 27852572730572966535120, 6266130842526092431103520
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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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
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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
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Recurrence:
a(1) = 360,
a(2) = 275040,
a(3) = 102430080,
a(4) = 31321626480,
a(5) = 8516117133360,
a(6) = 2155827631204800,
a(7) = 520736224355831520,
a(8) = 121804259414668451280,
a(9) = 27852572730572966535120,
a(10) = 6266130842526092431103520, and
a(n) = 493a(n-1) - 76229a(n-2) + 3141623a(n-3) + 83807874a(n-4) + 375481728a(n-5)
- 11713248a(n-6) - 1292308992a(n-7) + 1074456576a(n-8) - 238878720a(n-9).
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CROSSREFS
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Sequence in context: A056313 A054648 A166785 this_sequence A156032 A003799 A003930
Adjacent sequences: A145409 A145410 A145411 this_sequence A145413 A145414 A145415
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KEYWORD
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nonn,more
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Feb 03 2009
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