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A006835 Percolation series for directed square lattice.
(Formerly M2742)
+0
1
1, 0, -1, -3, -8, -21, -56, -154, -434, -1252, -3675, -10954, -33044, -100676, -309569, -957424, -2987846, -9330274, -29522921, -92459524, -298142956, -922424269, -3098690837, -9042937179, -34187149573, -79544646085 (list; graph; listen)
OFFSET

0,4

REFERENCES

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

K. De'Bell and J. W. Essam, Estimates of the site percolation probability exponents for some directed lattices, J. Phys. A 16 (1983), 3145-3147.

Iwan Jensen and Anthony J. Guttmann, Series Expansions of the Percolation Probability for Directed Square and Honeycomb Lattices, J. Phys. A 28 (1995), 4813-4833.

R. N. Onody and U. P. C. Neves, Series Expansion of the Directed Percolation Probability, J. Phys. A 25 (1992), 6609-6615.

LINKS

I. Jensen, Table of n, a(n) for n = 0..37 (from link below)

I. Jensen, More terms

CROSSREFS

Sequence in context: A085560 A094374 A008909 this_sequence A014318 A158495 A018037

Adjacent sequences: A006832 A006833 A006834 this_sequence A006836 A006837 A006838

KEYWORD

sign

AUTHOR

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

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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