A342885 Number of n-step self-avoiding walks on 9-D cubic lattice.

1, 18, 306, 5202, 88146, 1493874, 25300530, 428518386, 7256300850, 122876680626, 2080586127186, 35229409431570, 596495353475538, 10099744526658546, 171003188767881906, 2895335387107970706, 49021668492861718674, 829999403731225961874

Offset: 0

Author

N. J. A. Sloane, Mar 31 2021

Keywords

• nonn

Links

• 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.