|
%I M4269
%S 0,6,60,314,1240,4166,12600,35324,93576,236944,578764,1371478,3169380,
%T 7165478,15901324,34705018,74661832,158529158,332756408,691084378,
%U 1421836528,2899678894,5867341452,11784640984,23512608484
%N Series for second parallel moment of hexagonal lattice.
%C The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice.
%D J. W. Essam, A. J. Guttmann and K. De'Bell, On two-dimensional directed percolation, J. Phys. A 21 (1988), 3815-3832.
%D 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.
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H I. Jensen, <a href="/A006741/b006741.txt">Table of n, a(n) for n = 0..82</a> (from link below)
%H I. G. Enting, A, J. Guttmann and I. Jensen, <a href="http://arXiv.org/abs/hep-lat/?9410005">Low-Temperature Series Expansions for the Spin-1 Ising Model</a>, J. Phys. A. 27 (1994) 6987-7006.
%H I. Jensen, <a href="http://www.ms.unimelb.edu.au/~iwan/dirperc/series/triasite_t2.ser">More terms</a>
%H G. Nebe and N. J. A. Sloane, <a href="http://www.math.rwth-aachen.de/~Gabriele.Nebe/LATTICES/A2.html">Home page for hexagonal (or triangular) lattice A2</a>
%K nonn
%O 0,2
%A _N. J. A. Sloane_, _Simon Plouffe_
|