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A003774
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Number of spanning trees with degrees 1 and 3 in K_4 X P_n.
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0
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4, 48, 672, 8496, 106944, 1349760, 17032800, 214925952, 2712031104, 34221651456, 431824387584, 5448956749824, 68757417818112, 867612411420672, 10947928532312064, 138145948088696832
(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
Index entries for sequences related to trees
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FORMULA
| a(n) = 12a(n-1) + 4a(n-2) + 48a(n-3), n>7.
G.f.: 4x*(1+20x^2+12x^3+48x^5+24x^6)/(1-12x-4x^2-48x^3). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 16 2008]
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CROSSREFS
| Sequence in context: A196963 A126967 A098402 * A179235 A183204 A047711
Adjacent sequences: A003771 A003772 A003773 * A003775 A003776 A003777
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KEYWORD
| nonn
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AUTHOR
| Frans Faase (Frans_LiXia(AT)wxs.nl)
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