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A003748
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Number of 2-factors in K_5 X P_n.
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0
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12, 814, 41278, 2169266, 113488662, 5940718514, 310952704838, 16276223002786, 851946706852182, 44593472067545554, 2334157405518854758, 122176869250651741826, 6395107433748612174582
(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) = 12,
a(2) = 814,
a(3) = 41278, and
a(n) = 47a(n-1) + 288a(n-2) - 436a(n-3).
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CROSSREFS
| Sequence in context: A201246 A155813 A178023 * A203410 A140412 A116225
Adjacent sequences: A003745 A003746 A003747 * A003749 A003750 A003751
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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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