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High-temperature coefficients for the internal energy for spin-1/2 Ising model on 4-d cubic lattice.
4

%I #12 Nov 26 2024 18:00:19

%S 4,24,432,10512,290552,8800432,284289160,9621738448

%N High-temperature coefficients for the internal energy for spin-1/2 Ising model on 4-d cubic lattice.

%H M. E. Fisher and D. S. Gaunt, <a href="https://doi.org/10.1103/PhysRev.133.A224">Ising model and self-avoiding walks on hypercubical lattices and "high-density" expansions</a>, Phys. Rev. 133 (1964) A224-A239.

%F 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

%Y Cf. A010571 (3D), A010573 (5D), A010574 (6D), A030044 (partition function), A010557 (fourth-field derivative of free energy), A010563.

%K nonn,more

%O 0,1

%A _N. J. A. Sloane_

%E a(5)-a(7) from _Andrey Zabolotskiy_, Feb 16 2022, corrected Nov 26 2024