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A006728 Series for first parallel moment of square lattice.
(Formerly M1840)
4

%I M1840 #19 Oct 04 2019 07:39:10

%S 2,8,24,62,148,330,710,1464,2962,5814,11288,21406,40364,74570,137602,

%T 249088,451868,804766,1440580,2529686,4482584,7775166,13664146,

%U 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

%N Series for first parallel moment of square lattice.

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

%H I. Jensen, <a href="/A006728/b006728.txt">Table of n, a(n) for n = 0..170</a> (from link below)

%H I. G. Enting, A, J. Guttmann and I. Jensen, <a href="https://arxiv.org/abs/hep-lat/9410005">Low-Temperature Series Expansions for the Spin-1 Ising Model</a>, arXiv:hep-lat/9410005, 1994; J. Phys. A. 27 (1994) 6987-7006.

%H J. W. Essam, A. J. Guttmann and K. De'Bell, <a href="https://doi.org/10.1088/0305-4470/21/19/018">On two-dimensional directed percolation</a>, J. Phys. A 21 (1988), 3815-3832.

%H I. Jensen, <a href="https://researchers.ms.unimelb.edu.au/~ij@unimelb/dirperc/series/sqbt1.ser">More terms</a>

%H Iwan Jensen, Anthony J. Guttmann, <a href="https://arxiv.org/abs/cond-mat/9509121">Series expansions of the percolation probability for directed square and honeycomb lattices</a>, arXiv:cond-mat/9509121, 1995; J. Phys. A 28 (1995), no. 17, 4813-4833.

%Y Cf. A006727, A260330, A006729, A006730.

%K sign,nice

%O 0,1

%A _N. J. A. Sloane_, _Simon Plouffe_

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Last modified April 27 20:19 EDT 2024. Contains 372020 sequences. (Running on oeis4.)