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A181584 Number of cycles of length (2n+1)^2-1 on 2n+1 X 2n+1 square grid 1
5, 226, 255088, 6663430912, 3916162476483538, 51249820944023435573470, 14870957102232406137455708164254, 95494789899510664733921727510895952184006 (list; graph; refs; listen; history; text; internal format)
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).

Also see our Prehamilton Cycles page.

Index entries for sequences related to graphs, Hamiltonian

CROSSREFS

Cf. A003763

Sequence in context: A263430 A200988 A201491 * A300390 A002142 A103732

Adjacent sequences:  A181581 A181582 A181583 * A181585 A181586 A181587

KEYWORD

nonn

AUTHOR

Artem M. Karavaev, Oct 31 2010

STATUS

approved

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Last modified August 24 03:51 EDT 2019. Contains 326260 sequences. (Running on oeis4.)