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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 (list; graph; refs; listen; history; text; internal format)
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
Sequence in context: A216211 A366810 A219405 * A155611 A218175 A002903
KEYWORD
nonn,walk,more
AUTHOR
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

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)