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 A145411 Number of Hamiltonian cycles in K_6 X P_n. 1
 60, 12000, 1758360, 261136920, 38768711160, 5755703361240, 854506434905400, 126862210606868760, 18834288215839119480, 2796186594116563849560, 415129012549619965635000, 61631114827252880297037720 (list; graph; refs; listen; history; text; internal format)
 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. LINKS Harvey P. Dale, Table of n, a(n) for n = 1..460 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 Index entries for linear recurrences with constant coefficients, signature (145,516,-288). FORMULA Recurrence: a(1) = 60, a(2) = 12000, a(3) = 1758360, and a(n) = 145a(n-1) + 516a(n-2) - 288a(n-3). G.f.: 60*x*(1+55*x-210*x^2)/(1-145*x-516*x^2+288*x^3). [R. J. Mathar, Feb 19 2009; corrected by Georg Fischer, May 12 2019] MATHEMATICA LinearRecurrence[{145, 516, -288}, {60, 12000, 1758360}, 20] (* Harvey P. Dale, Jun 16 2015 *) CROSSREFS Sequence in context: A146513 A269883 A251991 * A248708 A184890 A295598 Adjacent sequences:  A145408 A145409 A145410 * A145412 A145413 A145414 KEYWORD nonn AUTHOR N. J. A. Sloane, Feb 03 2009 EXTENSIONS More terms from R. J. Mathar, Feb 19 2009 STATUS approved

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Last modified January 22 07:38 EST 2021. Contains 340360 sequences. (Running on oeis4.)