A003119 - OEIS

%I M3451 #26 Nov 14 2024 23:49:50

%S 1,4,12,36,108,324,948,2772,8076,23508,67980,196548,566820,1633956,

%T 4697412,13501492,38742652,111146820,318390684,911904996,2608952940,

%U 7463042916,21328259716

%N High-temperature series for spin-1/2 Ising magnetic susceptibility on diamond structure.

%D C. Domb, Ising model, in Phase Transitions and Critical Phenomena, vol. 3, ed. C. Domb and M. S. Green, Academic Press, 1974; p. 381.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes 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. F. Sykes, <a href="https://doi.org/10.1016/S0031-8914(63)80297-9">The crystal statistics of the diamond lattice</a>, Physica, 29 (1963), 378-388.

%H D. S. Gaunt and M. F. Sykes, <a href="https://iopscience.iop.org/article/10.1088/0305-4470/6/10/010">Estimation of Critical Indices for the Three-Dimensional Ising Model</a>, J. Phys. A 6 (1973), 1517-1526.

%H Peter Young, <a href="https://web.archive.org/web/20150912072903/http://www.apyoung.com/~peter/219/series.dat">Coefficients in the series expansions</a>.

%Y Cf. low-temperature: A003220 (ferromagnetic), A007216 (antiferromagnetic); A002913 (cubic structure); A002923 (Heisenberg model).

%K nonn,more

%O 0,2

%A _N. J. A. Sloane_

%E More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Mar 01 2008

%E Name clarified by _Andrey Zabolotskiy_, Nov 14 2024