A001397 Number of 2n-step self-avoiding walks on diamond lattice ending at point with x = 2. (Formerly M3602 N1461)

4, 24, 188, 1368, 10572, 81376, 637148, 5007560, 39638728, 314980912, 2513038452, 20109809792, 161359033480, 1297640775272, 10456351280264, 84402717067264

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..16.

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, A001396, A001398, A227715, A227716.

Sequence in context: A135905 A239296 A028498 * A001506 A354123 A088815

Adjacent sequences: A001394 A001395 A001396 * A001398 A001399 A001400

Keyword

nonn,walk,more,changed

Author

N. J. A. Sloane

Extensions

Edited and extended by Joseph Myers, Jul 21 2013

a(12)-a(14) from Sean A. Irvine, Nov 16 2017

a(15) from Bert Dobbelaere, Jan 12 2019

a(16) from Seiichi Manyama, Jul 21 2026

Status

approved