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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

Table of n, a(n) for n=0..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, A001397, A001398, A227715, A227716.

Sequence in context: A264707 A216211 A219405 * A155611 A218175 A002903

Adjacent sequences:  A001393 A001394 A001395 * A001397 A001398 A001399

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 13 2017

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

STATUS

approved

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Last modified July 24 20:26 EDT 2021. Contains 346273 sequences. (Running on oeis4.)