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A010576 Number of n-step self-avoiding walks on 5-d cubic lattice. 2
1, 10, 90, 810, 7210, 64250, 570330, 5065530, 44906970, 398227610, 3527691690, 31255491850, 276741169130, 2450591960890, 21690684337690, 192003889675210, 1699056192681930, 15035937610909770, 133030135015071770, 1177032340670878170, 10412322608416261050 (list; graph; refs; listen; history; text; internal format)
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

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Last modified March 24 02:10 EDT 2017. Contains 283984 sequences.