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A001396
Number of 2n-step self-avoiding walks on diamond lattice ending at point with x = 0.
(Formerly M3623 N1471)
6
1, 4, 28, 188, 1428, 10708, 82948, 644788, 5067404, 40016460, 317727164, 2532064332, 20247784124, 162353831796, 1304943724900, 10510168583516
OFFSET
0,2
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
KEYWORD
nonn,walk,more
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
STATUS
approved