A000766 Number of n-step self-avoiding walks on f.c.c. lattice ending at point with x = 1. (Formerly M3645 N1482)

4, 32, 292, 2672, 24780, 232512, 2201948, 20997008, 201314448, 1938659936, 18737136032, 181646110192, 1765522809468, 17198432462368, 167859941774728

Offset

1,1

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=1..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. A000765, A000767, A000768, A001336, A227511.

Sequence in context: A110901 A295538 A256183 * A370099 A267982 A231258

Adjacent sequences: A000763 A000764 A000765 * A000767 A000768 A000769

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