A002918 High temperature series for spin-1/2 Ising specific heat on 3-dimensional f.c.c. lattice. (Formerly M4255 N1777)

6, 48, 390, 3216, 26844, 229584, 2006736, 17809008, 159799812, 1446245424, 13181330772, 120849559824, 1113598633188

Offset

0,1

References

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=0..12.

G. A. Baker, Further application of the Padé approximant method to the Ising and Heisenberg models, Phys. Rev. 129 (1963) 99-102.

A. J. Guttmann and G. S. Joyce, Critical behaviour of an isotropic spin system, J. Phys. C: Solid State Phys., 6 (1973), 2691-2712. See Table 1.

Index entries for sequences related to f.c.c. lattice

Index entries for sequences related to specific heat

Formula

G.f.: (v^2-1) * (-q/2*f(v)^2 - (v^2-1) * f'(v)^2 + f(v) * (2*v*f'(v) + (v^2-1)*f''(v))) / f(v)^2, where f(v) is the g.f. of A001407 and q = 12 is the number of nearest neighbors. - Andrey Zabolotskiy, Feb 15 2022

Crossrefs

Cf. A002916 (cubic), A002917 (b.c.c.), A002921 (susceptibility), A001407 (partition function), A002165 (Heisenberg).

Sequence in context: A250164 A264083 A083233 * A354504 A005399 A366942

Adjacent sequences: A002915 A002916 A002917 * A002919 A002920 A002921

Keyword

nonn,more

Author

N. J. A. Sloane

Extensions

Better description from Steven Finch

a(8)-a(10) from Guttmann & Joyce added by Andrey Zabolotskiy, Feb 02 2022

a(11)-a(12) from Andrey Zabolotskiy, Feb 15 2022

Status

approved