A121785 "Spanning walks" on the square lattice (see Jensen web site for further information).

8, 95, 2320, 154259, 30549774, 17777600753, 30283708455564, 152480475641255213, 2287842813828061810244, 102744826737618542833764649, 13848270995235582268846758977770

Offset

1,1

Comments

Number of Hamiltonian paths in the graph P_{n+1} X P_{n+1} starting at any of the n+1 vertices on one side of the graph and terminating at any of the n+1 vertices on the opposite side. - Andrew Howroyd, Apr 10 2016

Links

Anthony J. Guttmann and Iwan Jensen, Table of n, a(n) for n = 1..26

Anthony J. Guttmann and Iwan Jensen, Self-avoiding walks and polygons crossing a domain on the square and hexagonal lattices, arXiv:2208.06744 [math-ph], Aug 13 2022, table D1.

I. Jensen, Series Expansions for Self-Avoiding Walks

I. Jensen, Spanning walks (terms)

Crossrefs

Cf. A000532, A001184, A121789, A215527.

Cf. A333323, A356610-A356616, A354511.

Sequence in context: A262737 A299747 A300261 * A305587 A229294 A241813

Adjacent sequences: A121782 A121783 A121784 * A121786 A121787 A121788

Keyword

nonn

Author

N. J. A. Sloane, Aug 30 2006

Status

approved