A181584 Number of cycles of length (2n+1)^2-1 on 2n+1 X 2n+1 square grid.

5, 226, 255088, 6663430912, 3916162476483538, 51249820944023435573470, 14870957102232406137455708164254, 95494789899510664733921727510895952184006

Offset

1,1

Comments

This sequence is a way to extend the sequence A003763 in case of grids with odd number of nodes: a(n) is the number of cycles in odd-side square lattice with maximum possible length.

Links

Artem M. Karavaev, Table of n, a(n) for n=1..10

a(1)-a(10) were obtained during a small programming contest (in Russian).

Artem M. Karavaev, Prehamilton Cycles page

Index entries for sequences related to graphs, Hamiltonian

Crossrefs

Cf. A003763.

Sequence in context: A339311 A200988 A201491 * A300390 A002142 A355878

Adjacent sequences: A181581 A181582 A181583 * A181585 A181586 A181587

Keyword

nonn

Author

Artem M. Karavaev, Oct 31 2010

Status

approved