A003770 Number of 2-factors in K_4 X P_n.

3, 42, 474, 5514, 63942, 741786, 8605014, 99822138, 1157982198, 13433121114, 155830324182, 1807702748538, 20970175374006, 243263587212186, 2821968429343638, 32736119315989434

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

Table of n, a(n) for n=1..16.

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, Counting Hamiltonian cycles in product graphs

F. Faase, Results from the counting program

Formula

a(n) = 11a(n-1) + 8a(n-2) - 12a(n-3), n>3.

G.f.: 3x(4x+1)(1-x)/(1-11x-8x^2+12x^3). [From R. J. Mathar, Dec 16 2008]

Crossrefs

Sequence in context: A084512 A084522 A160874 * A173936 A219619 A097068

Adjacent sequences: A003767 A003768 A003769 * A003771 A003772 A003773

Keyword

nonn

Author

Frans J. Faase

Status

approved