A006461 Percolation series for directed square lattice. (Formerly M1144)

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.

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