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 A167059 Number of spanning trees in G X P_n, where G = {{1, 2}, {1, 3}, {1, 4}, {1, 5}, {2, 3}, {2, 4}}. 1
 8, 4032, 1612800, 631427328, 246562692200, 96244833484800, 37566939748080392, 14663279200231130112, 5723424260979717196800, 2233987356983360324068800, 871977888467614764819315368, 340353508793721676084268236800, 132847991246505889127220947758952 (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, 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. 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}}. Contains sequence, recurrence, generating function, and more. FORMULA a(n) = 504 a(n-1) - 48706 a(n-2) + 1765008 a(n-3) - 29021617 a(n-4) + 239655024 a(n-5) - 1039298722 a(n-6) + 2447629128 a(n-7) - 3242171236 a(n-8) + 2447629128 a(n-9) - 1039298722 a(n-10) + 239655024 a(n-11) - 29021617 a(n-12) + 1765008 a(n-13) - 48706 a(n-14) + 504 a(n-15) - a(n-16) G.f.: -8x (x^14 -3710x^12 +104832x^11 -997954x^10 +3633840x^9 -4759203x^8 +4759203x^6 -3633840x^5 +997954x^4 -104832x^3 +3710x^2-1)/ (x^16 -504x^15 +48706x^14 -1765008x^13 +29021617x^12 -239655024x^11 +1039298722x^10 -2447629128x^9 +3242171236x^8 -2447629128x^7 +1039298722x^6 -239655024x^5 +29021617x^4 -1765008x^3 +48706x^2 -504x+1). CROSSREFS Sequence in context: A221243 A351409 A024113 * A013742 A209592 A060760 Adjacent sequences:  A167056 A167057 A167058 * A167060 A167061 A167062 KEYWORD nonn AUTHOR Paul Raff, Jun 01 2010 STATUS approved

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Last modified May 28 15:04 EDT 2022. Contains 354115 sequences. (Running on oeis4.)