A342886 Number of n-step self-avoiding walks on 10-D cubic lattice.

1, 20, 380, 7220, 136820, 2593100, 49121660, 930556460, 17625825740, 333857601020, 6323384122580, 119767717450100, 2268399952520660, 42963566150826380, 813721674662589980, 15411746407417290020, 291893918240586194660, 5528387235193561980740

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: A324949 A084329 A097832 * A163124 A163454 A163969

Adjacent sequences: A342883 A342884 A342885 * A342887 A342888 A342889

Keyword

nonn

Author

N. J. A. Sloane, Mar 31 2021

Status

approved