A002929 Magnetization for cubic lattice. (Formerly M0038 N0011)

1, 0, 0, -2, 0, -12, 14, -90, 192, -792, 2148, -7716, 23262, -79512, 252054, -846628, 2753520, -9205800, 30371124, -101585544, 338095596, -1133491188, 3794908752, -12758932158, 42903505030, -144655483440, 488092130664, -1650000819068, 5583090702798, -18918470423736, 64167341172984, -217893807812346, 740578734923544

Offset

0,4

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.

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).

Andreas Wipf, Statistical Approach to Quantum Field Theory, LNP 864, Springer, 2013. See Table 9.6, beware of the typo in a(12).

Links

Table of n, a(n) for n=0..32.

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

Sequence in context: A104014 A007207 A349932 * A112261 A134831 A074001

Adjacent sequences: A002926 A002927 A002928 * A002930 A002931 A002932

Keyword

sign,nice

Author

N. J. A. Sloane

Extensions

a(21)-a(32) from Wipf added by Andrey Zabolotskiy, Oct 18 2021

Status

approved