A000762 - OEIS

A000762

Number of n-step self-avoiding walks on cubic lattice ending at point with x=3.
(Formerly M5010 N2157)

1, 16, 144, 984, 5756, 30760, 155912, 766424, 3698848, 17648312, 83558828, 393534176, 1846227984, 8637479208, 40325165648, 187980582568, 875268197452, 4072021100336, 18931821861960, 87979249474568

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

OFFSET

3,2

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=3..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, A000761, A001412, A227338.

Sequence in context: A004409 A319553 A054851 * A217711 A086952 A230971

Adjacent sequences: A000759 A000760 A000761 * A000763 A000764 A000765

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