A010108 Partition function coefficients for square lattice spin 2 Ising model.

1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 10, -14, 5, 0, 0, 0, 9, 34, -105, 84, -21, 0, 30, 36, 36, -594, 911, -502, 174, 102, -86, -272, -2494, 7498, -7331, 3416, -679, -1044, -1766, -7042, 48799, -79886, 59347

Offset

0,16

Links

I. Jensen, Table of n, a(n) for n = 0..119 (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.

Crossrefs

Sequence in context: A037857 A037875 A057764 * A033782 A302721 A321740

Adjacent sequences: A010105 A010106 A010107 * A010109 A010110 A010111

Keyword

sign

Author

N. J. A. Sloane, Simon Plouffe

Extensions

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

Status

approved