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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
Sequence in context: A034580 A359519 A209538 * A007758 A207874 A208374
KEYWORD
sign
AUTHOR
STATUS
approved

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Last modified August 5 19:08 EDT 2024. Contains 374954 sequences. (Running on oeis4.)