A342888 Number of n-step self-avoiding walks on 12-D cubic lattice.

1, 24, 552, 12696, 291480, 6692424, 153614760, 3526063752, 80931227016, 1857565708968, 42634594787160, 978544945823832, 22459264078075992, 515478463349872200, 11831064537706447464, 271542137952854806776, 6232321082672399260152, 143041632747658763159736

Offset

0,2

Links

Table of n, a(n) for n=0..17.

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: A162810 A010561 A334673 * A163174 A163519 A163992

Adjacent sequences: A342885 A342886 A342887 * A342889 A342890 A342891

Keyword

nonn

Author

N. J. A. Sloane, Mar 31 2021

Status

approved