A001398 Number of (2n+1)-step self-avoiding walks on diamond lattice ending at point with x = 3.

8, 56, 464, 3520, 27768, 217316, 1719616, 13633972, 108620060, 867750412, 6952901716, 55838915036, 449398552664, 3623393504692, 29262315259524

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, A001397, A227715, A227716.

Extensions

Edited and extended by Joseph Myers, Jul 21 2013

a(12)-a(13) from Sean A. Irvine, Nov 19 2017

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