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A003739
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Number of spanning trees in W_5 X P_n.
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3
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45, 55125, 59719680, 64416925125, 69471840376125, 74922901143552000, 80801651828175064605, 87141671714980415665125, 93979154798291442260459520, 101353134069755356151903203125
(list;
graph;
refs;
listen;
history;
text;
internal format)
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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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P. Raff, Table of n, a(n) for n = 1..200
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
P. Raff, Spanning Trees in Grid Graphs.
P. Raff, Analysis of the Number of Spanning Trees of W_5 x P_n. Contains sequence, recurrence, generating function, and more.
P. Raff, Analysis of the Number of Spanning Trees of Grid Graphs.
Index entries for sequences related to trees
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FORMULA
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a(n) = 1152 a(n-1)
- 80640 a(n-2)
+ 1442883 a(n-3)
- 4477824 a(n-4)
+ 4477824 a(n-5)
- 1442883 a(n-6)
+ 80640 a(n-7)
- 1152 a(n-8)
+ a(n-9)
G.f.: -45x(x^7+73x^6-3456x^5+4534x^4+4534x^3-3456x^2+73x+1) / (x^9-1152x^8+80640x^7 -1442883x^6+4477824x^5 -4477824x^4+1442883x^3 -80640x^2+1152x-1).
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CROSSREFS
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Sequence in context: A287434 A225991 A125113 * A300198 A145319 A089626
Adjacent sequences: A003736 A003737 A003738 * A003740 A003741 A003742
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KEYWORD
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nonn,easy
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AUTHOR
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Frans J. Faase
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EXTENSIONS
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Added recurrence from Faase's web page. - N. J. A. Sloane, Feb 03 2009
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STATUS
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approved
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