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

1,1

Links

Table of n, a(n) for n=1..8.

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

Crossrefs

Cf. A010571 (cubic), A047712 (f.c.c.), A001406 (partition function).

Sequence in context: A369537 A371658 A328183 * A089448 A167141 A322296

Adjacent sequences: A047708 A047709 A047710 * A047712 A047713 A047714

Keyword

nonn,more

Author

N. J. A. Sloane

Extensions

Name clarified and a(6)-a(8) added by Andrey Zabolotskiy, Feb 14 2022

Status

approved