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A003736
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Number of 2-factors in W_5 X P_n.
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1
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4, 156, 3832, 101476, 2653176, 69537644, 1821675752, 47726949876, 1250396334280, 32759217743932, 858260185404312, 22485600623006756, 589101327485494424, 15433894026086119116, 404353331486123621320
(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) = 156,
a(3) = 3832,
a(4) = 101476,
a(5) = 2653176,
a(6) = 69537644, and
a(n) = 21a(n-1) + 149a(n-2) - 285a(n-3) - 1354a(n-4) + 1098a(n-5) - 24a(n-6).
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CROSSREFS
| Sequence in context: A197802 A093977 A202298 * A204680 A205156 A205305
Adjacent sequences: A003733 A003734 A003735 * A003737 A003738 A003739
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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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