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

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

Offset: 0

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, A001397, A001398, A227715, A227716.

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