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A001398
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Number of (2n+1)-step self-avoiding walks on diamond lattice ending at point with x = 3.
(Formerly M4546 N1930)
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6
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8, 56, 464, 3520, 27768, 217316, 1719616, 13633972, 108620060, 867750412, 6952901716, 55838915036, 449398552664, 3623393504692, 29262315259524
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OFFSET
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1,1
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REFERENCES
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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).
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LINKS
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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.
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CROSSREFS
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Cf. A001394, A001395, A001396, A001397, A227715, A227716.
Sequence in context: A182430 A027081 A093134 * A251250 A087290 A086787
Adjacent sequences: A001395 A001396 A001397 * A001399 A001400 A001401
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KEYWORD
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nonn,walk,more
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AUTHOR
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N. J. A. Sloane
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EXTENSIONS
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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
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STATUS
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approved
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