A342883 Number of n-step self-avoiding walks on 7-D cubic lattice.

1, 14, 182, 2366, 30590, 395654, 5110070, 66009062, 852194966, 11002765718, 142019952830, 1833202179662, 23659632189662, 305360673698150, 3940760013826454, 50857078231126286, 656293571739976142, 8469305943784113806, 109290078485661202262, 1410313416278288850230

Offset

0,2

Links

Table of n, a(n) for n=0..19.

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: A199942 A097828 A030008 * A163090 A163439 A163959

Adjacent sequences: A342880 A342881 A342882 * A342884 A342885 A342886

Keyword

nonn

Author

N. J. A. Sloane, Mar 31 2021

Status

approved