A002892 Low-temperature series for partition function for spin-1/2 Ising model on f.c.c. lattice.

1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 6, -6, 0, 0, 8, 42, -114, 66, 24, 123, 134, -1563, 2262, -405, 846, -2532, -15182, 47961, -37992, 8044, -59694, -57117, 742394, -1233840, 597456, -798392, 1447162, 7898736, -27134598, 27649335

Offset: 0

Author

N. J. A. Sloane

Keywords

• sign

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

• C. Domb, On the theory of cooperative phenomena in crystals, Advances in Phys., 9 (1960), 149-361: part 1, part 2.
• C. Domb and A. J. Guttmann, Low-temperature series for the Ising model, J. Phys. C: Solid State Phys., 3 (1970), 1652-1660.
• M. F. Sykes, D. S. Gaunt, J. W. Essam and C. J. Elliott, Derivation of low-temperature expansions for Ising model. VI. Three-dimensional lattices-temperature grouping, J. Phys. A: Math. Nucl. Gen., 6 (1973), 1507-1516.
• Index entries for sequences related to f.c.c. lattice

Crossrefs

Cf. A001407 (high-temperature), A002891 (cubic lattice), A002924 (susceptibility), A003196 (magnetization).

Extensions

Name clarified, missing minus signs added to a(12) and a(17), and terms a(22) and beyond added by Andrey Zabolotskiy, Feb 14 2022