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A238835
Large-q series expansion for the exponential of the surface free energy of the square-lattice zero-temperature Potts antiferromagnet, in terms of the variable z = 1/(q - 1).
3
1, 1, 0, -1, -1, 0, 1, -1, -8, -16, -16, -12, -41, -138, -210, 47, 849, 1471, -493, -8052, -19901, -19966, 37556, 223807, 508523, 321314, -2052462, -8417723, -13374892, 10841423, 112595914, 260687001, 70989018, -1341964856, -4108283969, -3304416038, 14960606999, 58237169596, 65268280922, -162368154719, -767619757924, -975329692910, 1872486336165, 9701425034093, 12262136381593, -24192583755347, -118764516172484
OFFSET
0,9
LINKS
Andrey Zabolotskiy, Table of n, a(n) for n = 0..79 (from Jacobsen 2010)
Jesper Lykke Jacobsen, Bulk, surface and corner free-energy series for the chromatic polynomial on the square and triangular lattices, J. Phys. A: Math. Theor., 43 (2010), 315002; arXiv:1005.3609 [cond-mat.stat-mech], 2010.
J. Salas and A. D. Sokal, Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models. V. Further Results for the Square-Lattice Chromatic Polynomial, J. Stat. Phys. 135 (2009) 279-373; arXiv:0711.1738 [cond-mat.stat-mech], 2007-2009. Mentions this sequence.
CROSSREFS
Sequence in context: A205869 A217178 A103699 * A040056 A242890 A224550
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Mar 14 2014
EXTENSIONS
Name corrected by Andrey Zabolotskiy, Feb 12 2022
STATUS
approved