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High temperature series for partition function for spin-1/2 Ising model on f.c.c. lattice.
(Formerly M4511 N1909)
5

%I M4511 N1909 #30 Jan 19 2023 02:07:35

%S 1,0,0,8,33,168,962,5928,38907,268056,1918938,14169360,107333498,

%T 830660688,6546655404,52410001448

%N High 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 and M. F. Sykes, <a href="https://doi.org/10.1080/14786435708241023">The calculation of lattice constants in crystal statistics</a>, Phil. Mag., 2 (1957), 733ff.

%H M. F. Sykes, D. L. Hunter, D. S. McKenzie and B. R. Heap, <a href="https://doi.org/10.1088/0305-4470/5/5/008">Specific heat of a three dimensional Ising ferromagnet above the Curie temperature. II</a>, J. Phys. A: Gen. Phys., 5 (1972), 667-673. The power-series part of Eq. (1.3) is the logarithm of the g.f. for this sequence.

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

%Y Cf. A001393, A001406, A002892, A047712, A002918.

%K nonn,more

%O 0,4

%A _N. J. A. Sloane_

%E a(10)-a(14) added and name clarified by _Andrey Zabolotskiy_, Feb 14 2022

%E a(15) added using data from A047712 by _Andrey Zabolotskiy_, Jan 18 2023