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
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}, {2, 3}, {2, 4}, {3, 5}, {4, 5}}. Contains sequence, recurrence, generating function, and more.
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
FORMULA
a(n) = 840 a(n-1)
- 95522 a(n-2)
+ 4231920 a(n-3)
- 87627601 a(n-4)
+ 863951760 a(n-5)
- 3862082882 a(n-6)
+ 9004563960 a(n-7)
- 11846119204 a(n-8)
+ 9004563960 a(n-9)
- 3862082882 a(n-10)
+ 863951760 a(n-11)
- 87627601 a(n-12)
+ 4231920 a(n-13)
- 95522 a(n-14)
+ 840 a(n-15)
- a(n-16)
G.f.: -24x(x^14 -5278x^12 +201600x^11 -2458194x^10 +8663760x^9 -10786195x^8 +10786195x^6 -8663760x^5 +2458194x^4 -201600x^3 +5278x^2 -1)/ (x^16 -840x^15 +95522x^14 -4231920x^13 +87627601x^12 -863951760x^11 +3862082882x^10 -9004563960x^9 +11846119204x^8 -9004563960x^7 +3862082882x^6 -863951760x^5 +87627601x^4 -4231920x^3 +95522x^2 -840x +1).
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved