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A006461
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Percolation series for directed square lattice.
(Formerly M1144)
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4
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1, 0, -1, -2, -4, -8, -17, -38, -88, -210, -511, -1264, -3165, -8006, -20426, -52472, -135682, -352562, -920924, -2414272, -6356565, -16782444, -44470757, -118090648, -314580062, -839379548, -2245969278, -6017177104, -16161597987
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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REFERENCES
| R. J. Baxter and A. J. Guttmann, Series expansion of the percolation probability for the directed square lattice, J. Phys. A 21 (1988), 3193-3204.
J. Blease, Series expansions for the directed-bond percolation problem, J. Phys. C 10 (1977), 917-924.
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.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| I. Jensen, Table of n, a(n) for n = 0..54 (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
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CROSSREFS
| Cf. A006462.
Sequence in context: A100131 A119685 A025276 * A003007 A086615 A081124
Adjacent sequences: A006458 A006459 A006460 * A006462 A006463 A006464
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KEYWORD
| sign,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)
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