

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
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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), 31933204.
J. Blease, Series expansions for the directedbond percolation problem, J. Phys C vol 10 no 7 (1977), 917924.
I. G. Enting, A, J. Guttmann and I. Jensen, LowTemperature Series Expansions for the Spin1 Ising Model, arXiv:heplat/9410005, 1994; J. Phys. A. 27 (1994) 69877006.
I. Jensen, More terms [Archived website]
Iwan Jensen, Anthony J. Guttmann, Series expansions of the percolation probability for directed square and honeycomb lattices, arXiv:condmat/9509121, 1995; J. Phys. A 28 (1995), no. 17, 48134833.


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



