A001396 Number of 2n-step self-avoiding walks on diamond lattice ending at point with x = 0. (Formerly M3623 N1471)

1, 4, 28, 188, 1428, 10708, 82948, 644788, 5067404, 40016460, 317727164, 2532064332, 20247784124, 162353831796, 1304943724900, 10510168583516

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.

Crossrefs

Cf. A001394, A001395, A001397, A001398, A227715, A227716.

Sequence in context: A216211 A366810 A219405 * A155611 A218175 A002903

Adjacent sequences: A001393 A001394 A001395 * A001397 A001398 A001399

Keyword

nonn,walk,more

Author

N. J. A. Sloane

Extensions

Edited and extended by Joseph Myers, Jul 21 2013

a(12)-a(13) from Sean A. Irvine, Nov 13 2017

a(14)-a(15) from Bert Dobbelaere, Jan 12 2019

Status

approved