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A003774
Number of spanning trees with degrees 1 and 3 in K_4 X P_n.
0
4, 48, 672, 8496, 106944, 1349760, 17032800, 214925952, 2712031104, 34221651456, 431824387584, 5448956749824, 68757417818112, 867612411420672, 10947928532312064, 138145948088696832
OFFSET
1,1
REFERENCES
F. Faase, On the number of specific spanning subgraphs of the graphs G X P_n, Ars Combin. 49 (1998), 129-154.
FORMULA
a(n) = 12a(n-1) + 4a(n-2) + 48a(n-3), n>7.
G.f.: 4x*(1+20x^2+12x^3+48x^5+24x^6)/(1-12x-4x^2-48x^3). [From R. J. Mathar, Dec 16 2008]
CROSSREFS
Sequence in context: A126967 A098402 A333481 * A214819 A211198 A179235
KEYWORD
nonn
STATUS
approved