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Search: id:A003743
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| A003743 |
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Number of Hamilton cycles in O_5 X P_n. |
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+0
1
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| 6, 204, 4152, 90012, 1916640, 41086080, 878480688, 18801691584, 402251873664, 8607198763968, 184162678606848, 3940493249544192, 84313290894281472, 1804026190433055744, 38600161433802577920
(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) = 6,
a(2) = 204,
a(3) = 4152,
a(4) = 90012,
a(5) = 1916640,
a(6) = 41086080, and
a(n) = 16a(n-1) + 136a(n-2) - 460a(n-3) + 432a(n-4) + 256a(n-5).
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CROSSREFS
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Sequence in context: A086065 A112845 A109058 this_sequence A115491 A082405 A054653
Adjacent sequences: A003740 A003741 A003742 this_sequence A003744 A003745 A003746
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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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