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}, {3, 4}}. Contains sequence, recurrence, generating function, and more.
FORMULA
a(n) = 1152 a(n-1)
- 138048 a(n-2)
+ 5263416 a(n-3)
- 72792384 a(n-4)
+ 279916416 a(n-5)
- 429599666 a(n-6)
+ 279916416 a(n-7)
- 72792384 a(n-8)
+ 5263416 a(n-9)
- 138048 a(n-10)
+ 1152 a(n-11)
- a(n-12)
G.f.: -40x(x^10 +24x^9 -7104x^8 +167016x^7 -378475x^6 +378475x^4 -167016x^3 +7104x^2 -24x -1)/ (x^12 -1152x^11 +138048x^10 -5263416x^9 +72792384x^8 -279916416x^7 +429599666x^6 -279916416x^5 +72792384x^4 -5263416x^3 +138048x^2 -1152x +1).
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved