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, 5}, {3, 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) = 344 a(n-1)
- 25540 a(n-2)
+ 745448 a(n-3)
- 10445708 a(n-4)
+ 76194968 a(n-5)
- 303860988 a(n-6)
+ 687124520 a(n-7)
- 899525622 a(n-8)
+ 687124520 a(n-9)
- 303860988 a(n-10)
+ 76194968 a(n-11)
- 10445708 a(n-12)
+ 745448 a(n-13)
- 25540 a(n-14)
+ 344 a(n-15)
- a(n-16)
G.f.: -4x (x^14 -2331x^12 +56416x^11 -467115x^10 +1546624x^9 -1949983x^8 +1949983x^6 -1546624x^5 +467115x^4 -56416x^3 +2331x^2 -1)/ (x^16 -344x^15 +25540x^14 -745448x^13 +10445708x^12 -76194968x^11 +303860988x^10 -687124520x^9 +899525622x^8 -687124520x^7 +303860988x^6 -76194968x^5 +10445708x^4 -745448x^3 +25540x^2 -344x+1).
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved