A029874 Low temperature series for spin-1/2 Ising specific heat on 2D square lattice, divided by 8.

2, 9, 36, 150, 672, 3185, 15688, 79326, 408710, 2135771, 11285280, 60168394, 323185688, 1746853245, 9492648592, 51824157994, 284078305566, 1562777946663

Offset

0,1

References

S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 391-406.

Links

Table of n, a(n) for n=0..17.

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

I. G. Enting, A, J. Guttmann and I. Jensen, Low-Temperature Series Expansions for the Spin-1 Ising Model, arXiv:hep-lat/9410005, 1994; J. Phys. A. 27 (1994) 6987-7006.

Steven R. Finch, Lenz-Ising Constants [broken link]

Steven R. Finch, Lenz-Ising Constants [From the Wayback Machine]

Index entries for sequences related to specific heat

Formula

a(n) ~ (1 + sqrt(2))^(2*n+4) / (4*Pi*n). - Vaclav Kotesovec, Apr 28 2024

Crossrefs

Cf. A029872.

Sequence in context: A055841 A037521 A037730 * A052834 A289805 A150967

Adjacent sequences: A029871 A029872 A029873 * A029875 A029876 A029877

Keyword

nonn,more,changed

Author

Steven Finch

Status

approved