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A006728 Series for first parallel moment of square lattice.
(Formerly M1840)
+0
3
2, 8, 24, 62, 148, 330, 710, 1464, 2962, 5814, 11288, 21406, 40364, 74570, 137602, 249088, 451868, 804766, 1440580, 2529686, 4482584, 7775166, 13664146, 23446020, 40953840, 69518842, 120978656, 203223692, 352808860, 586473542, 1018405966, 1671890010, 2913173846, 4717224772, 8265261498, 13170191912, 23329646078, 36355510686, 65539706454, 99432015478, 183391807808, 268568296956, 513870876498, 714234719598, 1440359201368, 1874047502574, 4048390833688, 4791576314698, 11521319804730, 11801670105578, 33055165149064, 27869200356228, 96170461301080, 58847785748014, 288365269158218, 97008272891722, 876853221827434, 50270991328638, 2742424862540904, -723012645772984, 8945610206297122 (list; graph; listen)
OFFSET

0,1

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..170 (from link below)

I. G. Enting, A, J. Guttmann and I. Jensen, Low-Temperature Series Expansions for the Spin-1 Ising Model, J. Phys. A. 27 (1994) 6987-7006.

I. Jensen, More terms

CROSSREFS

Sequence in context: A006734 A131064 A075218 this_sequence A075216 A127790 A006730

Adjacent sequences: A006725 A006726 A006727 this_sequence A006729 A006730 A006731

KEYWORD

sign,nice

AUTHOR

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

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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