A000765 Number of n-step self-avoiding walks on f.c.c. lattice ending at point with x = 0. (Formerly M3663 N1489)

1, 4, 36, 308, 2764, 25404, 237164, 2237948, 21286548, 203701772, 1958748676, 18908954324, 183135542956, 1778581016076, 17314029758828, 168891863875652

Offset

0,2

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=0..15.

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

Index entries for sequences related to f.c.c. lattice

Crossrefs

Cf. A000766, A000767, A000768, A001336, A227511.

Sequence in context: A222428 A279581 A093186 * A226283 A270473 A374388

Adjacent sequences: A000762 A000763 A000764 * A000766 A000767 A000768

Keyword

nonn,walk,more

Author

N. J. A. Sloane

Extensions

Edited and extended by Joseph Myers, Jul 14 2013

a(12)-a(15) from Bert Dobbelaere, Jan 13 2019

Status

approved