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A006741 Series for second parallel moment of hexagonal lattice.
(Formerly M4269)
+0
1
0, 6, 60, 314, 1240, 4166, 12600, 35324, 93576, 236944, 578764, 1371478, 3169380, 7165478, 15901324, 34705018, 74661832, 158529158, 332756408, 691084378, 1421836528, 2899678894, 5867341452, 11784640984, 23512608484 (list; graph; listen)
OFFSET

0,2

COMMENT

The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice.

REFERENCES

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.

LINKS

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

CROSSREFS

Sequence in context: A121287 A069072 A074441 this_sequence A120573 A028244 A000911

Adjacent sequences: A006738 A006739 A006740 this_sequence A006742 A006743 A006744

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.


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