A002915 Low temperature series for spin-1/2 Ising antiferromagnetic susceptibility for 3-dimensional simple cubic lattice. (Formerly M3187 N1290)

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

Offset

1,3

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

Table of n, a(n) for n=1..20.

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.

Formula

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

Crossrefs

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

Sequence in context: A330316 A028591 A048728 * A127733 A330379 A364102

Adjacent sequences: A002912 A002913 A002914 * A002916 A002917 A002918

Keyword

sign,nice,more

Author

N. J. A. Sloane

Extensions

Better description from Steven Finch

Status

approved