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A006738 Series for second perpendicular moment of hexagonal lattice.
(Formerly M2024)

%I M2024

%S 0,2,12,54,206,712,2294,7024,20656,58842,163250,443062,1180156,

%T 3092964,7993116,20401250,51502616,128748512,319010540,784179992,

%U 1913668608,4639155964,11178566462,26784974870,63851541584

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

%H I. Jensen, <a href="/A006738/b006738.txt">Table of n, a(n) for n = 0..90</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/triabond_x2.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.

%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>

%Y Cf. A006803, A006809, A006736, A006737.

%K nonn

%O 0,2

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

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Last modified August 15 01:28 EDT 2020. Contains 336484 sequences. (Running on oeis4.)