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

0,2

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.

Sequence in context: A057086 A092420 A010579 * A162983 A163397 A163954

Adjacent sequences: A010573 A010574 A010575 * A010577 A010578 A010579

Keyword

nonn,walk

Author

N. J. A. Sloane.

Extensions

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

Status

approved