A002915 Low temperature series for spin-1/2 Ising antiferromagnetic susceptibility for 3-dimensional simple cubic lattice.

0, 0, 4, 0, 0, -8, 60, -144, 416, -1248, 4200, -13248, 42936, -138072, 452840, -1480944, 4883688, -16114784, 53457696, -177637248

Offset: 1

Author

N. J. A. Sloane

Keywords

• sign
• nice
• more

References

• N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

• M. E. Fisher and M. F. Sykes, Antiferromagnetic susceptibilities of the simple cubic and body-centered cubic Ising lattices, Physica, 28 (1962), 939-956.
• M. F. Sykes, J. W. Essam and D. S. Gaunt, Derivation of low-temperature expansions for the Ising model of a ferromagnet and an antiferromagnet, J. Math. Phys. 6 (1965), 283-298.
• M. F. Sykes et al., Derivation of low-temperature expansions for Ising model VI. Three-dimensional lattices - temperature grouping, J. Phys. A 6 (1973), 1507-1516.

Crossrefs

Cf. A007217, A002979 (square), A007216 (diamond), A007218 (b.c.c.), A002926 (ferromagnetic).

Formula

a(n) = 4 * A007217(n-3). - Andrey Zabolotskiy, Feb 21 2022

Extensions

Better description from Steven Finch