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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 (list; graph; refs; listen; history; text; internal format)
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.

CROSSREFS

Cf. A006462.

Sequence in context: A100131 A119685 A025276 * A257300 A229202 A003007

Adjacent sequences:  A006458 A006459 A006460 * A006462 A006463 A006464

KEYWORD

sign,nice

AUTHOR

N. J. A. Sloane, Simon Plouffe

STATUS

approved

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Last modified January 22 10:32 EST 2019. Contains 319363 sequences. (Running on oeis4.)