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A006461
Percolation series for directed square lattice.
(Formerly M1144)
4
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
OFFSET
0,4
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..54(from link below)
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 vol 10 no 7 (1977), 917-924.
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.
I. Jensen,More terms[Archived website]
Iwan Jensen, Anthony J. Guttmann,Series expansions of the percolation probability for directed square and honeycomb lattices,arXiv:cond-mat/9509121, 1995; J. Phys. A 28 (1995), no. 17, 4813-4833.
KEYWORD
sign,nice
STATUS
approved