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A006731 Site percolation series for square lattice.
(Formerly M1055)
+0
5
1, 2, 4, 7, 12, 20, 33, 53, 85, 133, 210, 322, 505, 759, 1192, 1748, 2782, 3931, 6476, 8579, 15216, 17847, 36761, 33612, 93961, 47282, 262987, -16105, 827382, -571524, 2936705, -3661626, 11507775, -18880652, 48169220, -90436605 (list; graph; listen)
OFFSET

0,2

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

J. W. Essam, A. J. Guttmann and K. De'Bell, On two-dimensional directed percolation, J. Phys. A 21 (1988), 3815-3832.

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..158 (from link below)

I. Jensen, More terms

CROSSREFS

Cf. A056532.

Sequence in context: A128129 A014968 A126348 this_sequence A000071 A093607 A005182

Adjacent sequences: A006728 A006729 A006730 this_sequence A006732 A006733 A006734

KEYWORD

sign

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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