[go: up one dir, main page]

login
A010572
High-temperature coefficients for the internal energy for spin-1/2 Ising model on 4-d cubic lattice.
2
4, 24, 432, 10512, 290552, 8800432, 284289160, 8021738448
OFFSET
0,1
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
CROSSREFS
Cf. A010571 (3D), A010573 (5D), A010574 (6D), A030044 (partition function), A010557 (fourth-field derivative of free energy).
Sequence in context: A185457 A024250 A167140 * A247737 A326871 A012945
KEYWORD
nonn,more
EXTENSIONS
a(5)-a(7) from Andrey Zabolotskiy, Feb 16 2022
STATUS
approved