A010579 - OEIS

A010579

High temperature series for spin-1/2 Ising magnetic susceptibility on 5D simple cubic lattice.

1, 10, 90, 810, 7210, 64170, 568970, 5044810, 44649930, 395180650, 3494051130, 30893156970, 272971707930, 2411975074570, 21302972395370, 188151452434090, 1661273238131050, 14668124524584170, 129481802727508250, 1142991284620073450, 10087904498275867530

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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), A010580 (6D), A030008 (7D).

Sequence in context: A164552 A057086 A092420 * A010576 A162983 A163397

Adjacent sequences: A010576 A010577 A010578 * A010580 A010581 A010582

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

Corrections and updates from Steven Finch

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

STATUS

approved