A047711 High-temperature coefficients for internal energy for spin-1/2 Ising model on b.c.c. lattice.
4, 48, 840, 19080, 501712, 14383256, 436774992, 13826204264
Offset: 1
Links
- M. E. Fisher and M. F. Sykes, Antiferromagnetic susceptibilities of the simple cubic and body-centered cubic Ising lattices, Physica, 28 (1962), 939-956.
- Index entries for sequences related to b.c.c. lattice
Formula
Sum_{n>=1} a(n) * v^(2*n-1) = v*q/2 + (1-v^2) * f'(v) / f(v), where f(v) = Sum_{n>=0} A001406(n) * v^(2*n) and q = 8 is the number of nearest neighbors. - Andrey Zabolotskiy, Feb 14 2022
Extensions
Name clarified and a(6)-a(8) added by Andrey Zabolotskiy, Feb 14 2022