A010580 High temperature series for spin-1/2 Ising magnetic susceptibility on 6D simple cubic lattice.

1, 12, 132, 1452, 15852, 173052, 1884972, 20532252, 223437852, 2431526492, 26447593812, 287669976492, 3128064123732, 34013987172972, 369792173040492, 4020299656610636, 43702216875039660, 475060467524653980, 5163624600479230260, 56125562454502452780, 610010748386503122684

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), A030008 (7D).

Sequence in context: A118475 A190873 A097826 * A010577 A163055 A163432

Adjacent sequences: A010577 A010578 A010579 * A010581 A010582 A010583

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