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A003771 Number of Hamiltonian cycles in K_4 X P_n. 1
3, 30, 198, 1326, 8886, 59550, 399078, 2674446, 17922966, 120111870, 804937158, 5394336366, 36150480246, 242264688990, 1623551862438, 10880333659086, 72915231888726, 488645955902910, 3274691227542918, 21945546680994606, 147069444311876406, 985595016821145630 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
Frans J. 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) = 7*a(n-1) - 2*a(n-2), n>3.
G.f.: 3*x*(1+3*x-2*x^2)/(1-7*x+2*x^2). - R. J. Mathar, Dec 16 2008
CROSSREFS
Sequence in context: A132413 A344907 A032263 * A121100 A203366 A130546
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
More terms from Stefano Spezia, May 13 2023
STATUS
approved

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Last modified June 20 23:53 EDT 2024. Contains 373535 sequences. (Running on oeis4.)