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Search: id:A006742
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| A006742 |
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Series for second perpendicular moment of hexagonal lattice.
(Formerly M2020)
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+0
1
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| 2, 12, 46, 144, 402, 1040, 2548, 5992, 13632, 30220, 65486, 139404, 291770, 602908, 1229242, 2482792, 4959014, 9836840, 19323246, 37773464, 73182570, 141345292, 270647584, 517513972, 980893354
(list; graph; listen)
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OFFSET
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1,1
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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).
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. G. Enting, A, J. Guttmann and I. Jensen, Low-Temperature Series Expansions for the Spin-1 Ising Model, J. Phys. A. 27 (1994) 6987-7006.
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: A123771 A046991 A061990 this_sequence A003993 A129018 A069946
Adjacent sequences: A006739 A006740 A006741 this_sequence A006743 A006744 A006745
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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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