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Search: id:A006739
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| A006739 |
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Site percolation series for hexagonal lattice.
(Formerly M2654)
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+0
2
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| 1, 3, 7, 15, 31, 62, 122, 235, 448, 842, 1572, 2904, 5341, 9743, 17718, 32009, 57701, 103445, 185165, 329904, 587136, 1040674, 1843300, 3253020, 5738329, 10090036, 17736533, 31086416, 54484239, 95220744, 166451010, 290209573
(list; graph; listen)
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OFFSET
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0,2
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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).
J. W. Essam, A. J. Guttmann and K. De'Bell, On two-dimensional directed percolation, J. Phys. A 21 (1988), 3815-3832.
Jensen, Iwan; Guttmann, Anthony J.; Series expansions of the percolation probability for directed square and honeycomb lattices. J. Phys. A 28 (1995), no. 17, 4813-4833.
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LINKS
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I. Jensen, Table of n, a(n) for n = 0..82 (from link below)
I. Jensen, More terms
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: A007574 A034480 A057703 this_sequence A119407 A043734 A151359
Adjacent sequences: A006736 A006737 A006738 this_sequence A006740 A006741 A006742
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)
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