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Search: id:A003290
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| A003290 |
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Number of n-step walks on hexagonal lattice.
(Formerly M4119)
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+0
1
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| 1, 6, 18, 50, 156, 508, 1724, 6018, 21440, 77632, 284706, 1055162, 3944956, 14858934
(list; graph; listen)
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OFFSET
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2,2
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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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Sequence in context: A099857 A163765 A086926 this_sequence A075650 A015645 A001216
Adjacent sequences: A003287 A003288 A003289 this_sequence A003291 A003292 A003293
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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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