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Search: id:A006775
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| A006775 |
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Number of n-step spirals on hexagonal lattice.
(Formerly M1121)
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+0
1
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| 1, 2, 4, 8, 16, 31, 61, 115, 213, 388, 691, 1218, 2110, 3617, 6113, 10238, 16945, 27802, 45180, 72838, 116479, 184936, 291556, 456694, 710907, 1100192, 1693123, 2591830, 3947417, 5982953
(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).
G. Szekeres and A. J. Guttmann, Spiral self-avoiding walks on the triangular lattice, J. Phys. A 20 (1987), 481-493.
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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: A107066 A141019 A152718 this_sequence A104993 A128761 A001591
Adjacent sequences: A006772 A006773 A006774 this_sequence A006776 A006777 A006778
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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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