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Low-temperature series for partition function for spin-1/2 Ising model on f.c.c. lattice.
(Formerly M4055 N1682)
4

%I M4055 N1682 #29 Feb 16 2022 11:10:23

%S 1,0,0,0,0,0,1,0,0,0,0,6,-6,0,0,8,42,-114,66,24,123,134,-1563,2262,

%T -405,846,-2532,-15182,47961,-37992,8044,-59694,-57117,742394,

%U -1233840,597456,-798392,1447162,7898736,-27134598,27649335

%N Low-temperature series for partition function for spin-1/2 Ising model on f.c.c. lattice.

%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 C. Domb, On the theory of cooperative phenomena in crystals, Advances in Phys., 9 (1960), 149-361: <a href="https://doi.org/10.1080/00018736000101189">part 1</a>, <a href="https://doi.org/10.1080/00018736000101199">part 2</a>.

%H C. Domb and A. J. Guttmann, <a href="https://doi.org/10.1088/0022-3719/3/8/003">Low-temperature series for the Ising model</a>, J. Phys. C: Solid State Phys., 3 (1970), 1652-1660.

%H M. F. Sykes, D. S. Gaunt, J. W. Essam and C. J. Elliott, <a href="https://doi.org/10.1088/0305-4470/6/10/009">Derivation of low-temperature expansions for Ising model. VI. Three-dimensional lattices-temperature grouping</a>, J. Phys. A: Math. Nucl. Gen., 6 (1973), 1507-1516.

%H <a href="/index/Fa#fcc">Index entries for sequences related to f.c.c. lattice</a>

%Y Cf. A001407 (high-temperature), A002891 (cubic lattice), A002924 (susceptibility), A003196 (magnetization).

%K sign

%O 0,12

%A _N. J. A. Sloane_

%E Name clarified, missing minus signs added to a(12) and a(17), and terms a(22) and beyond added by _Andrey Zabolotskiy_, Feb 14 2022