A010576 Number of n-step self-avoiding walks on 5-d cubic lattice.

1, 10, 90, 810, 7210, 64250, 570330, 5065530, 44906970, 398227610, 3527691690, 31255491850, 276741169130, 2450591960890, 21690684337690, 192003889675210, 1699056192681930, 15035937610909770, 133030135015071770, 1177032340670878170, 10412322608416261050

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• walk

Links

• Hugo Pfoertner, Table of n, a(n) for n = 0..24 [from Clisby link below]
• N. Clisby, R. Liang and G. Slade Self-avoiding walk enumeration via the lace expansion J. Phys. A: Math. Theor. vol. 40 (2007) p 10973-11017, Table A7 for n<=24.
• M. E. Fisher and D. S. Gaunt, Ising model and self-avoiding walks on hypercubical lattices and high density expansions, Phys. Rev. 133 (1964) A224-A239.

Crossrefs

Cf. A010575 Self-avoiding walks on 4-d cubic lattice.

Extensions

Terms a(12) and beyond from Hugo Pfoertner, Aug 16 2014