A030044 High temperature series in v^2 = tanh(J/kT)^2 for spin-1/2 Ising partition function on 4D simple cubic lattice, divided by 2/(1+v)^4.

1, 0, 6, 76, 1389, 30608, 769646, 21242984, 627520006

Offset

0,3

References

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

Links

Table of n, a(n) for n=0..8.

Steven R. Finch, Lenz-Ising Constants [broken link]

Steven R. Finch, Lenz-Ising Constants [From the Wayback Machine]

M. F. Sykes, Derivation of low-temperature expansions for Ising model, X: The four-dimensional simple hypercubic lattice, J. Phys. A 12 (1979) 879-892.

Crossrefs

Cf. A030045, A030047, A030048, A030049.

Sequence in context: A318614 A236954 A116874 * A145165 A336713 A218303

Adjacent sequences: A030041 A030042 A030043 * A030045 A030046 A030047

Keyword

nonn

Author

Steven Finch

Extensions

"Free energy" corrected to "partition function" (basically the exponential of the free energy) in the name and more details given by Andrey Zabolotskiy, Feb 11 2022

Status

approved