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High-temperature series in v = tanh(J/kT) for susceptibility for the Ising model on honeycomb structure.
(Formerly M2558 N1012)
5

%I M2558 N1012 #21 Mar 03 2021 09:02:48

%S 1,3,6,12,24,48,90,168,318,600,1098,2004,3696,6792,12270,22140,40224,

%T 72888,130650,234012,421176,756624,1348998,2403840,4299018,7677840,

%U 13635630,24206220,43092888,76635984,135698970,240199320,426144654,755420328,1334488074

%N High-temperature series in v = tanh(J/kT) for susceptibility for the Ising model on honeycomb structure.

%C Previous name was: Susceptibility series 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. 380.

%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 639 terms in the file Honeycomb_v638.txt.

%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 M. F. Sykes, <a href="https://doi.org/10.1063/1.1724212">Some counting theorems in the theory of the Ising problem and the excluded volume problem</a>, J. Math. Phys., 2 (1961), 52-62.

%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.

%H M. F. Sykes, D. G. Gaunt, P. D. Roberts and J. A. Wyles, <a href="https://doi.org/10.1088/0305-4470/5/5/004">High temperature series for the susceptibility of the Ising model, I. Two dimensional lattices</a>, J. Phys. A 5 (1972) 624-639.

%Y Cf. A002978.

%K nonn,nice

%O 0,2

%A _N. J. A. Sloane_

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