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A006461 Percolation series for directed square lattice.
(Formerly M1144)
+0
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; listen)
OFFSET

0,4

REFERENCES

J. Blease, Series expansions for the directed-bond percolation problem, J. Phys. C 10 (1977), 917-924.

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.

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.

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

CROSSREFS

Cf. A006462.

Sequence in context: A100131 A119685 A025276 this_sequence A003007 A086615 A081124

Adjacent sequences: A006458 A006459 A006460 this_sequence A006462 A006463 A006464

KEYWORD

sign,nice

AUTHOR

njas, Simon Plouffe (plouffe(AT)math.uqam.ca)

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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