A238836 Large-q series expansion for the exponential of the corner free energy of the square-lattice zero-temperature Potts antiferromagnet, in terms of the variable z = 1/(q - 1).

1, 0, 0, 1, 0, 0, 0, 4, 12, 20, 28, 67, 208, 484, 753, 750, 679, 2320, 10020, 30548, 68832, 108744, 65229, -236055, -739289, 101404, 7201383, 26255714, 43505098, -17552274, -291420026, -674637832, 27442, 4426763291, 12910062402, 9737827437, -49131891078, -184470253912, -183956055539, 621518352427, 2660084937207, 3075466954690, -7500763944932, -34822638005931, -38841312202313, 104412348649015, 448320847685638

Offset

0,8

Links

Andrey Zabolotskiy, Table of n, a(n) for n = 0..78 (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

Cf. A090673, A238835.

Sequence in context: A301098 A301267 A337097 * A085039 A267194 A038429

Adjacent sequences: A238833 A238834 A238835 * A238837 A238838 A238839

Keyword

sign

Author

N. J. A. Sloane, Mar 14 2014

Extensions

Name corrected by Andrey Zabolotskiy, Feb 12 2022

Status

approved