A010556 High temperature series for spin-1/2 Ising magnetic susceptibility on 4D simple cubic lattice.

1, 8, 56, 392, 2696, 18536, 126536, 863720, 5873768, 39942184, 271009112, 1838725896, 12457092504, 84392312392, 571140732808, 3865210690888, 26138072412040, 176752645426600, 1194553221342296, 8073068110703880, 54534614510976680

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

References

• S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 391-406.

Links

• P. Butera and M. Pernici, High-temperature expansions of the higher susceptibilities for the Ising model in general dimension d, Phys. Rev. E 86, 011139 (2012); arXiv:1209.3592 [hep-lat], 2012.
• Steven R. Finch, Lenz-Ising Constants [broken link]
• Steven R. Finch, Lenz-Ising Constants [From the Wayback Machine]
• M. E. Fisher and D. S. Gaunt, Ising model and self-avoiding walks on hypercubical lattices and high density expansions, Phys. Rev. 133 (1964), A224-A239.
• D. S. Gaunt, M. F. Sykes and S. McKenzie, Susceptibility and fourth-field derivative of the spin-1/2 Ising model for T > T_c and d = 4, J. Phys. A 12 (1979), 871-877.
• M. A. Moore, Critical behavior of the four-dimensional Ising ferromagnet and the breakdown of scaling, Phys. Rev. B 1 (1970), 2238-2240.

Crossrefs

Cf. A002906 (2D), A002913 (3D), A010579 (5D), A010580 (6D), A030008 (7D).

Cf. A030046, A010041, A010044, A010047.

Extensions

a(17) corrected (was 176752645540264), a(18)-a(20) added using Butera & Pernici's formulas by Andrey Zabolotskiy, Aug 08 2022