|
Search: id:A006740
|
|
|
| A006740 |
|
Series for first parallel moment of hexagonal lattice.
(Formerly M3563)
|
|
+0
1
|
|
| 0, 4, 20, 68, 196, 512, 1256, 2936, 6628, 14528, 31140, 65414, 135276, 275656, 555216, 1105726, 2182380, 4268906, 8290740, 15984420, 30638312, 58369924, 110665328, 208734268, 392103508, 733311754, 1366650536, 2537201920
(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: A131479 A055538 A123613 this_sequence A061981 A054611 A121257
Adjacent sequences: A006737 A006738 A006739 this_sequence A006741 A006742 A006743
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)
|
|
|
Search completed in 0.002 seconds
|
