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A006744
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Number of n-step self-avoiding walks on a Manhattan lattice.
(Formerly M1073)
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3
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1, 2, 4, 7, 13, 24, 44, 77, 139, 250, 450, 788, 1403, 2498, 4447, 7782, 13769, 24363, 43106, 75396, 132865, 234171, 412731, 721433, 1267901, 2228666, 3917654, 6843596, 12004150, 21059478, 36947904, 64506130, 112983428, 197921386, 346735329, 605046571, 1058544744, 1852200487
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OFFSET
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1,2
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COMMENTS
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It seems that a(n) = A117633(n)/2 (the two sequences have similar names). Sequence A117633 is based on the paper by Malakis (1975). - Petros Hadjicostas, Jan 02 2019
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REFERENCES
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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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D. Bennett-Wood, J. L. Cardy, I. Enting, A. J. Guttmann and A. L. Owczarek, On the Non-Universality of a Critical Exponent for Self-Avoiding Walks, Nuc. Phys. B, 528, 533-552, 1998. [From Herman Jamke (hermanjamke(AT)fastmail.fm), Sep 13 2010] Also wayback, or arxiv:9805146.
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CROSSREFS
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KEYWORD
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nonn,walk
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AUTHOR
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STATUS
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approved
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