A030008 - OEIS

A030008

High temperature series for spin-1/2 Ising magnetic susceptibility on 7D simple cubic lattice.

1, 14, 182, 2366, 30590, 395486, 5105870, 65919182, 850586702, 10975573182, 141586912166, 1826501185054, 23558885899318, 303871575267918, 3919114007263518, 50545912921275198, 651868436561980638, 8406864950367314046, 108415583649894484278, 1398136240855886669662, 18029995593288775967598

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OFFSET

0,2

REFERENCES

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

LINKS

Table of n, a(n) for n=0..20.

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).

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.

Misha Gofman, Joan Adler, Amnon Aharony, A. B. Harris and Dietrich Stauffer, Series and Monte Carlo study of high-dimensional Ising models, J. Stat. Phys. 71, 1221-1230 (1993).

CROSSREFS

Cf. A002906 (2D), A002913 (3D), A010556 (4D), A010579 (5D), A010580 (6D).

Sequence in context: A162783 A199942 A097828 * A342883 A163090 A163439

Adjacent sequences: A030005 A030006 A030007 * A030009 A030010 A030011

KEYWORD

nonn

AUTHOR

Steven Finch

EXTENSIONS

Terms a(16)-a(20) added using Butera & Pernici's formulas by Andrey Zabolotskiy, Aug 09 2022

STATUS

approved