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, 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) = 551 a(n-1)
- 51500 a(n-2)
+ 1873400 a(n-3)
- 31993500 a(n-4)
+ 271314053 a(n-5)
- 1157139603 a(n-6)
+ 2669595000 a(n-7)
- 3507446800 a(n-8)
+ 2669595000 a(n-9)
- 1157139603 a(n-10)
+ 271314053 a(n-11)
- 31993500 a(n-12)
+ 1873400 a(n-13)
- 51500 a(n-14)
+ 551 a(n-15)
- a(n-16)
G.f.: -11x (x^14 -3600x^12 +110200x^11 -1112601x^10 +3855898x^9 -4841800x^8 +4841800x^6 -3855898x^5 +1112601x^4 -110200x^3 +3600x^2-1)/(x^16 -551x^15 +51500x^14 -1873400x^13 +31993500x^12 -271314053x^11 +1157139603x^10 -2669595000x^9 +3507446800x^8 -2669595000x^7 +1157139603x^6 -271314053x^5 +31993500x^4 -1873400x^3 +51500x^2 -551x+1).
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved