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Search: id:A005553
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| A005553 |
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Number of n-step walks on hexagonal lattice.
(Formerly M4235)
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+0
1
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| 6, 40, 174, 644, 2268, 8020, 28666, 103696, 379450, 1402276, 5227366, 19633732
(list; graph; listen)
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OFFSET
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4,1
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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: A027777 A073773 A001919 this_sequence A055344 A059021 A026077
Adjacent sequences: A005550 A005551 A005552 this_sequence A005554 A005555 A005556
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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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