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Search: id:A003765
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| A003765 |
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Number of Hamilton cycles in W_4 X P_n. |
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+0
1
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| 1, 10, 46, 238, 1170, 5882, 29278, 146382, 730434, 3647994, 18212046, 90936494, 454029874, 2266968122, 11318785790, 56514147406, 282171551586, 1408866513082, 7034386262766, 35122279177902
(list; graph; listen)
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OFFSET
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1,2
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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) = 1,
a(2) = 10,
a(3) = 46,
a(4) = 238,
a(5) = 1170,
a(6) = 5882 and
a(n) = 5a(n-1) + 3a(n-2) - 19a(n-3) + 20a(n-4) - 4a(n-5).
G.f.: x(1+5x-7x^2-3x^3+12x^4-4x^5)/(1-5x-3x^2+19x^3-20x^4+4x^5). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 16 2008]
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CROSSREFS
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Sequence in context: A003197 A096045 A115712 this_sequence A138041 A000832 A143895
Adjacent sequences: A003762 A003763 A003764 this_sequence A003766 A003767 A003768
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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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