A029873 Low temperature series for spin-1/2 Ising specific heat on 2D square lattice, multiplied by 4.

64, 288, 1152, 4800, 21504, 101920, 502016, 2538432, 13078720, 68344672, 361128960, 1925388608, 10341942016, 55899303840, 303764754944, 1658373055808, 9090505778112, 50008894293216

Offset: 0

Author

Steven Finch

Keywords

• nonn
• more

References

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

Links

• 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

Crossrefs

Cf. A029872.

Formula

a(n) ~ 8 * (1 + sqrt(2))^(2*n+4) / (Pi*n). - Vaclav Kotesovec, Apr 28 2024