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A003742
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Number of 2-factors in O_5 X P_n.
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0
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6, 327, 11040, 406731, 14683587, 532938234, 19313709882, 700238873703, 25384576377228, 920260033555854, 33361543878231264, 1209436952734137963, 43844979765366718719, 1589485790652572990865
(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) = 6,
a(2) = 327,
a(3) = 11040,
a(4) = 406731,
a(5) = 14683587,
a(6) = 532938234, and
a(n) = 26a(n-1) + 396a(n-2) - 707a(n-3) - 6539a(n-4) + 7239a(n-5) - 405a(n-6).
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CROSSREFS
| Sequence in context: A204462 A135397 A042421 * A135195 A001509 A003031
Adjacent sequences: A003739 A003740 A003741 * A003743 A003744 A003745
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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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