login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A056620
Partition function coefficients for square lattice spin 3 Ising model.
2
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, -14, 5, 0, 0, 0, 0, 0, 0, 0, 9, 34, -105, 84, -21, 0, 0, 0, 0, 0, 30, 36, 36, -594, 911, -524, 106, 0, 0, 22, 69, 102, -86, -268, -2557, 7446, -7527, 3366, -503, 52
OFFSET
0,24
LINKS
I. Jensen, Table of n, a(n) for n = 0..154 (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. [Warning: the pdf is not available]
I. G. Enting, A. J. Guttmann and I. Jensen, Low-Temperature Series Expansions for the Spin-1 Ising Model, J. Phys. A. 27 (1994) 6987-7006.
Iwan Jensen, Anthony J. Guttmann, Series expansions of the percolation probability for directed square and honeycomb lattices, J. Phys. A 28 (1995), no. 17, 4813-4833.
I. Jensen, More terms
CROSSREFS
Sequence in context: A085857 A335824 A297231 * A316869 A351961 A258772
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Aug 29 2000
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