A003196 Magnetization series for face-centered cubic lattice. (Formerly M0010)

1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -24, 26, 0, 0, -48, -252, 720, -438, -192, -984, -1008, 12924, -19536, 3062, -8280, 26694, 153536, -507948, 406056, -79532, 729912, 631608, -9279376, 15771600, -7467336, 10935114, -21835524, -112752684, 400576168, -410287368

Offset

0,7

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(35)]

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..40.

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, 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. A003193.

Sequence in context: A299905 A225783 A135468 * A319581 A331302 A062977

Adjacent sequences: A003193 A003194 A003195 * A003197 A003198 A003199

Keyword

sign,nice

Author

N. J. A. Sloane

Status

approved