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Search: id:A003738
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| A003738 |
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Number of Hamiltonian paths in W_5 X P_n. |
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+0
1
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| 24, 1928, 70840, 2185344, 59965424, 1530557776, 37196378552, 873086312048, 19977764713704, 448466556219344, 9921364210632440, 217025667063676368, 4705748061685966568, 101332112269430790800
(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
F. Faase, Counting Hamilton cycles in product graphs
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FORMULA
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a(1) = 24,
a(2) = 1920,
a(3) = 70184,
a(4) = 2154592,
a(5) = 58772296, and
a(n) = 60a(n-1) - 128a(n-2) - 3328a(n-3) - 56832a(n-4).
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CROSSREFS
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Sequence in context: A123794 A006685 A002671 this_sequence A001501 A054005 A107675
Adjacent sequences: A003735 A003736 A003737 this_sequence A003739 A003740 A003741
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KEYWORD
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nonn
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AUTHOR
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Frans Faase (Frans_LiXia(AT)wxs.nl)
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EXTENSIONS
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Added recurrence from Faase's web page. - N. J. A. Sloane (njas(AT)research.att.com), Feb 03 2009
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