A000761 - OEIS

A000761

Number of n-step self-avoiding walks on cubic lattice ending at point with x=2.
(Formerly M4852 N2074)

1, 12, 84, 468, 2332, 11068, 51472, 237832, 1095384, 5040568, 23168528, 106496816, 489379904, 2250000884, 10345888480, 47604198576, 219096141188, 1009071461380, 4648802248764, 21431064157200, 98828123716260

(list; graph; refs; listen; history; text; internal format)

OFFSET

2,2

REFERENCES

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n=2..22.

J. L. Martin, The exact enumeration of self-avoiding walks on a lattice, Proc. Camb. Phil. Soc., 58 (1962), 92-101.

CROSSREFS

Cf. A000759, A000760, A000762, A001412, A227338.

Sequence in context: A341367 A004407 A054849 * A174079 A003209 A155645

Adjacent sequences: A000758 A000759 A000760 * A000762 A000763 A000764

KEYWORD

nonn,walk,more

AUTHOR

N. J. A. Sloane

EXTENSIONS

Edited and extended by Joseph Myers, Jul 07 2013

a(17)-a(22) from Bert Dobbelaere, Jan 06 2019

STATUS

approved