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 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Table of n, a(n) for n=0..7. 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. 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 Adjacent sequences: A010569 A010570 A010571 * A010573 A010574 A010575 KEYWORD nonn,more AUTHOR N. J. A. Sloane EXTENSIONS a(5)-a(7) from Andrey Zabolotskiy, Feb 16 2022 STATUS approved

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Last modified September 16 06:43 EDT 2024. Contains 375959 sequences. (Running on oeis4.)