|
| |
|
|
A006729
|
|
Series for second parallel moment of square lattice (eventually changes sign).
(Formerly M2088)
|
|
4
|
|
|
|
2, 16, 72, 252, 764, 2094, 5362, 12968, 30138, 67446, 147048, 311940, 649860, 1325234, 2668130, 5278066, 10346200, 19977010, 38329556, 72546986, 136785444, 254596418, 473093498, 868060738, 1593517724
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,1
|
|
|
COMMENTS
|
The first negative term is the 70th.
|
|
|
REFERENCES
|
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
|
|
|
LINKS
|
I. Jensen, Table of n, a(n) for n = 0..170 (from Jensen link below)
I. G. Enting, A, J. Guttmann and I. Jensen, Low-Temperature Series Expansions for the Spin-1 Ising Model, arXiv:hep-lat/9410005, 1994; J. Phys. A. 27 (1994) 6987-7006.
J. W. Essam et al., Analysis of extended series for bond percolation on the directed square lattice, Phys. Rev. B 33 (1986), 1982-1986.
J. W. Essam, A. J. Guttmann and K. De'Bell, On two-dimensional directed percolation, J. Phys. A 21 (1988), 3815-3832.
I. Jensen, More terms
Iwan Jensen, Anthony J. Guttmann, Series expansions of the percolation probability for directed square and honeycomb lattices, J. Phys. A 28 (1995), no. 17, 4813-4833.
|
|
|
CROSSREFS
|
Cf. A006461, A006727, A006728, A006730, A260330.
Sequence in context: A034580 A359519 A209538 * A007758 A207874 A208374
Adjacent sequences: A006726 A006727 A006728 * A006730 A006731 A006732
|
|
|
KEYWORD
|
sign
|
|
|
AUTHOR
|
N. J. A. Sloane, Simon Plouffe
|
|
|
STATUS
|
approved
|
| |
|
|
