

A145411


Number of Hamiltonian cycles in K_6 X P_n.


1



60, 12000, 1758360, 261136920, 38768711160, 5755703361240, 854506434905400, 126862210606868760, 18834288215839119480, 2796186594116563849560, 415129012549619965635000, 61631114827252880297037720
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OFFSET

1,1


REFERENCES

F. Faase, On the number of specific spanning subgraphs of the graphs G X P_n, Ars Combin. 49 (1998), 129154.


LINKS



FORMULA

Recurrence:
a(1) = 60,
a(2) = 12000,
a(3) = 1758360, and
a(n) = 145a(n1) + 516a(n2)  288a(n3).


MATHEMATICA

LinearRecurrence[{145, 516, 288}, {60, 12000, 1758360}, 20] (* Harvey P. Dale, Jun 16 2015 *)


CROSSREFS



KEYWORD

nonn


AUTHOR



EXTENSIONS



STATUS

approved



