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A006729
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Series for second parallel moment of square lattice (eventually changes sign).
(Formerly M2088)
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4
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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
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0,1
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COMMENTS
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The first negative term is the 70th.
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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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, 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.
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CROSSREFS
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Cf. A006461, A006727, A006728, A006730, A260330.
Sequence in context: A006733 A034580 A209538 * A007758 A207874 A208374
Adjacent sequences: A006726 A006727 A006728 * A006730 A006731 A006732
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KEYWORD
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sign
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AUTHOR
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N. J. A. Sloane, Simon Plouffe
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STATUS
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approved
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