A001398 Number of (2n+1)-step self-avoiding walks on diamond lattice ending at point with x = 3. (Formerly M4546 N1930)

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

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..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, A001396, A001397, A227715, A227716.

Sequence in context: A182430 A027081 A093134 * A251250 A087290 A086787

Adjacent sequences: A001395 A001396 A001397 * A001399 A001400 A001401

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 19 2017

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

Status

approved