A003771 Number of Hamiltonian cycles in K_4 X P_n.
3, 30, 198, 1326, 8886, 59550, 399078, 2674446, 17922966, 120111870, 804937158, 5394336366, 36150480246, 242264688990, 1623551862438, 10880333659086, 72915231888726, 488645955902910, 3274691227542918, 21945546680994606, 147069444311876406, 985595016821145630
Offset: 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.
- Frans J. Faase, Counting Hamiltonian cycles in product graphs
- Frans J. Faase, Results from the counting program
- Index entries for linear recurrences with constant coefficients, signature (7,-2).
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
Extensions
More terms from Stefano Spezia, May 13 2023