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

Author

N. J. A. Sloane, Aug 30 2006

Keywords

• nonn

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.