A145414 Number of paths in K_6 X P_n joining two different vertices in K_6 from opposite sides.

325, 28506, 12139576, 5844687696, 2760949256856, 1307471887123416, 618956724210141816, 293027167159964445816, 138724393741836055216056, 65674706723578994696592696, 31091623528369957228864323576

Offset

1,1

Links

Table of n, a(n) for n=1..11.

F. Faase, Counting Hamiltonian cycles in product graphs.

F. Faase, Results from the counting program

Formula

For n>=10, a(n) = 426*a(n-1) + 23541*a(n-2) - 517674*a(n-3) + 77868*a(n-4) + 101434248*a(n-5) - 276637248*a(n-6) + 207532800*a(n-7) - 24883200*a(n-8).

Crossrefs

Sequence in context: A031714 A133447 A179535 * A298106 A266365 A340462

Adjacent sequences: A145411 A145412 A145413 * A145415 A145416 A145417

Keyword

nonn

Author

N. J. A. Sloane, Feb 03 2009

Extensions

Definition corrected by Frans J. Faase, Feb 05 2009

More terms from Max Alekseyev, Feb 12 2012

Status

approved