A010107 - OEIS

A010107

Partition function coefficients for square lattice spin 1 Ising model.

1, 0, 0, 0, 1, 0, 0, 2, -1, 0, 10, -14, 13, 30, -85, 124, 50, -476, 1047, -642, -1949, 7220, -9547, -2690, 42625, -90224, 62414, 190074, -683506, 952260, 290296, -4276192, 9356547, -6406858, -20006212, 73731040, -103077077

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OFFSET

0,8

LINKS

I. Jensen, Table of n, a(n) for n = 0..113 (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

Cf. A010102, A010115, A010111.

Cf. A010108, A010109, A010110, A056620.

Sequence in context: A362308 A185285 A268434 * A324429 A119830 A268435

Adjacent sequences: A010104 A010105 A010106 * A010108 A010109 A010110

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 11 2022

STATUS

approved