A342884 Number of n-step self-avoiding walks on 8-D cubic lattice.

1, 16, 240, 3600, 53776, 803504, 11994096, 179054640, 2672126256, 39878886896, 595065468048, 8879592484240, 132491660323472, 1976912303612080, 29496313445323888, 440098575225868624, 6566302628140689744, 97969968518462054352, 1461698348385616122224

Offset

0,2

Links

Table of n, a(n) for n=0..18.

N. Clisby, R. Liang, and G. Slade, Self-avoiding walk enumeration via the lace expansion, J. Phys. A: Math. Theor. vol. 40 (2007) pp. 10973-11017. Gives terms through a(24).

Nathan Clisby, Richard Liang, and Gordon Slade, Self-avoiding walk enumeration via the lace expansion: tables [Tables in humanly readable form]; Local copy.

N. Clisby, R. Liang, and G. Slade, Self-avoiding walk enumeration via the lace expansion. [Tables in machine-readable format on separate pages.]

Crossrefs

For self-avoiding walks on the k-D cubic lattice for k = 2, ..., 12 see A001411, A001412, A010575, A010576, A010577, A342883, A342884, A342885, A342886, A342887, A342888.

Sequence in context: A060198 A097829 A010559 * A163092 A163441 A163964

Adjacent sequences: A342881 A342882 A342883 * A342885 A342886 A342887

Keyword

nonn

Author

N. J. A. Sloane, Mar 31 2021

Status

approved