

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
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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, LowTemperature Series Expansions for the Spin1 Ising Model, arXiv:heplat/9410005, 1994; J. Phys. A. 27 (1994) 69877006.
J. W. Essam et al., Analysis of extended series for bond percolation on the directed square lattice, Phys. Rev. B 33 (1986), 19821986.
J. W. Essam, A. J. Guttmann and K. De'Bell, On twodimensional directed percolation, J. Phys. A 21 (1988), 38153832.
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, 48134833.


CROSSREFS

Cf. A006461, A006727, A006728, A006730, A260330.
Sequence in context: A006733 A034580 A209538 * A007758 A207874 A208374
Adjacent sequences: A006726 A006727 A006728 * A006730 A006731 A006732


KEYWORD

sign


AUTHOR

N. J. A. Sloane, Simon Plouffe


STATUS

approved



