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Low-temperature series in z = exp(-2J/kT) for ferromagnetic susceptibility for the Ising model on honeycomb structure.
(Formerly M4179 N1740)
3

%I M4179 N1740 #28 Mar 03 2021 09:37:41

%S 0,0,1,6,27,122,516,2148,8792,35622,143079,570830,2264649,8942436,

%T 35169616,137839308,538594704,2098892928,8159937669,31656305550,

%U 122575164923,473797120338,1828512928200,7046581314292,27119735418924,104247226432566,400272672674603

%N Low-temperature series in z = exp(-2J/kT) for ferromagnetic susceptibility for the Ising model on honeycomb structure.

%C Previous name was: Susceptibility coefficients for honeycomb.

%D C. Domb, Ising model, in Phase Transitions and Critical Phenomena, vol. 3, ed. C. Domb and M. S. Green, Academic Press, 1974; p. 421.

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

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

%H Y. Chan, A. J. Guttmann, B. G. Nickel, J. H. H. Perk, <a href="https://doi.org/10.1007/s10955-011-0212-0">The Ising Susceptibility Scaling Function</a>, J Stat Phys 145 (2011), 549-590; arXiv:<a href="https://arxiv.org/abs/1012.5272">1012.5272</a> [cond-mat.stat-mech], 2010-2020. Gives 641 term in the file Honeycomb_z641.txt (divide by 4 to get this sequence).

%H C. Domb, <a href="/A007239/a007239.pdf">Ising model</a>, Phase Transitions and Critical Phenomena 3 (1974), 257, 380-381, 384-387, 390-391, 412-423. (Annotated scanned copy)

%H J. W. Essam and M. E. Fisher, <a href="http://dx.doi.org/10.1063/1.1733766">Padé approximant studies of the lattice gas and Ising ferromagnet below the critical point</a>, J. Chem. Phys., 38 (1963), 802-812.

%H M. F. Sykes and M. E. Fisher, <a href="https://doi.org/10.1016/0031-8914(62)90080-0">Antiferromagnetic susceptibility of the plane square and honeycomb Ising lattices</a>, Physica, 28 (1962), 919-938.

%Y Cf. A002978.

%K nonn

%O 1,4

%A _N. J. A. Sloane_

%E New name and more terms from Chan et al added by _Andrey Zabolotskiy_, Mar 03 2021