A010109 Partition function coefficients for square lattice spin 5/2 Ising model.

1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 10, -14, 5, 0, 0, 0, 0, 0, 9, 34, -105, 84, -21, 0, 0, 0, 30, 36, 36, -594, 911, -524, 106, 22, 69, 102, -86, -268, -2557, 7446, -7464, 3418, -361, 50, -158, -1142, -1850, -7216

Offset: 0

Author

N. J. A. Sloane, Simon Plouffe

Keywords

• sign

Links

• I. Jensen, Table of n, a(n) for n = 0..126 (from link below)
• 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.
• I. Jensen, More terms
• Iwan Jensen, Anthony J. Guttmann, Series expansions of the percolation probability for directed square and honeycomb lattices, arXiv:cond-mat/9509121, 1995; J. Phys. A 28 (1995), no. 17, 4813-4833.

Extensions

"Free energy" corrected to "partition function" (basically the exponential of the free energy) in the name by Andrey Zabolotskiy, Feb 12 2022