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A003737
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Number of Hamilton cycles in W_5 X P_n.
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0
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4, 92, 1432, 22632, 357952, 5660752, 89521984, 1415743552, 22389250144, 354074376800, 5599502597088, 88553228914208, 1400423379497056, 22146969296658080, 350242830993566816, 5538908688560111008
(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
F. Faase, Counting Hamilton cycles in product graphs
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FORMULA
| a(1) = 4,
a(2) = 92,
a(3) = 1432,
a(4) = 22632,
a(5) = 357952,
a(6) = 5660752,
a(7) = 89521984,
a(8) = 1415743552, and
a(n) = 13a(n-1) + 50a(n-2) - 80a(n-3) - 120a(n-4) + 188a(n-5) + 32a(n-6) - 16a(n-7).
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CROSSREFS
| Sequence in context: A129434 A065574 A113252 * A012071 A012217 A012135
Adjacent sequences: A003734 A003735 A003736 * A003738 A003739 A003740
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KEYWORD
| nonn
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AUTHOR
| Frans Faase (Frans_LiXia(AT)wxs.nl)
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EXTENSIONS
| Added recurrence from Faase's web page. - N. J. A. Sloane (njas(AT)research.att.com), Feb 03 2009
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