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A167068 Number of spanning trees in G X P_n, where G = {{1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 5}, {4, 5}}. 1
11, 6061, 2733511, 1215842661, 540144000000, 239933520731861, 106577890632874111, 47341582784338831461, 21028987835540967334811, 9341012640240002304000000, 4149249488236281570533713211, 1843084039808720108847180812661, 818692341198182161542031245824911 (list; graph; refs; listen; history; text; internal format)
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, Spanning Trees in Grid Graphs, arXiv:0809.2551 [math.CO], 2008.
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.
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
Sequence in context: A257124 A208857 A214162 * A273942 A199646 A214183
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified March 28 14:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)