A003220 Low-temperature series for spin-1/2 Ising ferromagnetic susceptibility on diamond.

0, 0, 1, 8, 44, 208, 984, 4584, 21314, 98292, 448850, 2038968, 9220346, 41545564, 186796388, 838623100

Offset: 0

Author

N. J. A. Sloane, Simon Plouffe

Keywords

• nonn
• more

References

• C. Domb, Ising model, in Phase Transitions and Critical Phenomena, vol. 3, ed. C. Domb and M. S. Green, Academic Press, 1974; p. 421. [has a typo in a(15)]
• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

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

Crossrefs

Cf. A002924 (f.c.c.), A002925 (b.c.c.), A002926 (cubic); A007216 (antiferromagnetic), A002930 (magnetization), A003119 (high-temperature).

Extensions

Name clarified, a(15) corrected by Andrey Zabolotskiy, Nov 14 2024