OFFSET
1,1
REFERENCES
F. Faase, On the number of specific spanning subgraphs of the graphs A X P_n, Ars Combin. 49 (1998), 129-154.
LINKS
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, Results from the counting program
P. Raff, Spanning Trees in Grid Graphs, arXiv:0809.2551 [math.CO], 2008.
P. Raff, Analysis of the Number of Spanning Trees of G x P_n, where G = {{1, 2}, {1, 3}, {1, 4}, {1, 5}, {2, 3}, {2, 4}, {2, 5}}. Contains sequence, recurrence, generating function, and more.
FORMULA
a(n) = 720 a(n-1)
- 43920 a(n-2)
+ 624783 a(n-3)
- 2247840 a(n-4)
+ 2247840 a(n-5)
- 624783 a(n-6)
+ 43920 a(n-7)
- 720 a(n-8)
+ a(n-9)
G.f.: -20x(x^7 +64x^6 -2160x^5 +4273x^4 +4273x^3 -2160x^2 +64x +1)/ (x^9 -720x^8 +43920x^7 -624783x^6 +2247840x^5 -2247840x^4 +624783x^3 -43920x^2 +720x -1).
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved