A003119 High-temperature series for spin-1/2 Ising magnetic susceptibility on diamond structure. (Formerly M3451)

1, 4, 12, 36, 108, 324, 948, 2772, 8076, 23508, 67980, 196548, 566820, 1633956, 4697412, 13501492, 38742652, 111146820, 318390684, 911904996, 2608952940, 7463042916, 21328259716

Offset

0,2

References

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

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

Links

Table of n, a(n) for n=0..22.

C. Domb, Ising model, Phase Transitions and Critical Phenomena 3 (1974), 257, 380-381, 384-387, 390-391, 412-423. (Annotated scanned copy)

J. W. Essam and M. F. Sykes, The crystal statistics of the diamond lattice, Physica, 29 (1963), 378-388.

D. S. Gaunt and M. F. Sykes, Estimation of Critical Indices for the Three-Dimensional Ising Model, J. Phys. A 6 (1973), 1517-1526.

Peter Young, Coefficients in the series expansions.

Crossrefs

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

Sequence in context: A163315 A326339 A334877 * A001394 A156946 A163877

Adjacent sequences: A003116 A003117 A003118 * A003120 A003121 A003122

Keyword

nonn,more

Author

N. J. A. Sloane

Extensions

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

Name clarified by Andrey Zabolotskiy, Nov 14 2024

Status

approved