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A006733 Series for second parallel moment of square lattice (eventually changes sign).
(Formerly M2087)
+0
1
0, 2, 16, 68, 220, 608, 1520, 3526, 7756, 16302, 33172, 65378, 126224, 237600, 441776, 802820, 1451932, 2563356, 4544304, 7818078, 13684784, 22938278, 39986208, 64996080, 114280984, 177912196, 322438072, 467942962, 909533348, 1162410740, 2614286452, 2595422914, 7869393556, 4348425126, 25625330524, -1054012626, 92617456680, -64842762130, 373042426296 (list; graph; listen)
OFFSET

0,2

REFERENCES

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.

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..158 (from link below)

I. Jensen, More terms

CROSSREFS

Sequence in context: A035598 A167566 A034579 this_sequence A034580 A006729 A007758

Adjacent sequences: A006730 A006731 A006732 this_sequence A006734 A006735 A006736

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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