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Search: id:A003289
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| A003289 |
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Number of n-step walks on hexagonal lattice.
(Formerly M1229)
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+0
2
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| 1, 2, 4, 10, 30, 98, 328, 1140, 4040, 14542, 53060, 195624, 727790, 2728450, 10296720, 39084190, 149115456
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice.
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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).
D. S. McKenzie, The end-to-end length distribution of self-avoiding walks, J. Phys. A 6 (1973), 338-352.
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LINKS
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G. Nebe and N. J. A. Sloane, Home page for hexagonal (or triangular) lattice A2
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CROSSREFS
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Cf. A001335.
Sequence in context: A149834 A149835 A149836 this_sequence A087161 A007558 A094957
Adjacent sequences: A003286 A003287 A003288 this_sequence A003290 A003291 A003292
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KEYWORD
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nonn,walk
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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