A010572 High-temperature coefficients for the internal energy for spin-1/2 Ising model on 4-d cubic lattice.
4, 24, 432, 10512, 290552, 8800432, 284289160, 9621738448
Offset: 0
Links
- 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.
Crossrefs
Formula
Sum_{n>=0} a(n) * v^(2*n+1) = v*q/2 + (1-v^2) * f'(v) / f(v), where f(v) = Sum_{n>=0} A030044(n) * v^(2*n) and q = 8 is the number of nearest neighbors. - Andrey Zabolotskiy, Feb 16 2022
Extensions
a(5)-a(7) from Andrey Zabolotskiy, Feb 16 2022, corrected Nov 26 2024