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Search: id:A003760
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| A003760 |
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Number of Hamiltonian paths in D_4 X P_n. |
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+0
1
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| 2, 40, 240, 1558, 8300, 43438, 212700, 1014700, 4691580, 21257258, 94520524, 414149254, 1791339472, 7664373014, 32481662616, 136520499746, 569599125312, 2361080470268, 9730117780704, 39888323454064
(list; graph; listen)
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OFFSET
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1,1
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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) = 2,
a(2) = 40,
a(3) = 240,
a(4) = 1558,
a(5) = 8300,
a(6) = 43438,
a(7) = 212700,
a(8) = 1014700,
a(9) = 4691580,
a(10) = 21257258,
a(11) = 94520524,
a(12) = 414149254,
a(13) = 1791339472,
a(14) = 7664373014,
a(15) = 32481662616,
a(16) = 136520499746,
a(17) = 569599125312,
a(18) = 2361080470268 and
a(n) = 11a(n-1) - 34a(n-2) - 22a(n-3) + 266a(n-4) - 270a(n-5) - 454a(n-6) + 986a(n-7) - 247a(n-8) - 887a(n-9) + 1013a(n-10) - 259a(n-11) - 353a(n-12) + 417a(n-13) - 225a(n-14) + 71a(n-15) - 13a(n-16) + a(n-17).
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CROSSREFS
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Sequence in context: A047660 A073418 A012477 this_sequence A155977 A092698 A035604
Adjacent sequences: A003757 A003758 A003759 this_sequence A003761 A003762 A003763
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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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