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

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

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• walk
• more

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

• 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.

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