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A090673
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Large-q series expansion for exponential of bulk free energy of the square-lattice zero-temperature Potts antiferromagnet, divided by (q-1)^2/q, in terms of the variable z = 1/(q - 1).
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3
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1, 0, 0, 1, 0, 0, 0, 1, 3, 4, 3, 3, 11, 24, 8, -91, -261, -290, 254, 1671, 3127, 786, -13939, -49052, -80276, 21450, 515846, 1411017, 1160761, -4793764, -20340586, -29699360, 33165914, 256169433, 495347942, -127736296, -3068121066, -7092358808, -1024264966, 35697720501, 91243390558, 25789733672, -420665229170, -1089052872105, -238516756366, 5101697398582, 12146149238921
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OFFSET
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0,9
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COMMENTS
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Related to chromatic polynomial of the infinite square grid.
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REFERENCES
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N. Biggs, Algebraic Graph Theory, Cambridge, 2nd. Ed., 1993, p. 96.
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LINKS
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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.
D. Kim and I. G. Enting, The limit of chromatic polynomials, J. Combin. Theory B26 (1979), 327-336.
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.
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CROSSREFS
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Cf. A238835, A238836.
Sequence in context: A246820 A094237 A016654 * A270827 A293072 A120447
Adjacent sequences: A090670 A090671 A090672 * A090674 A090675 A090676
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KEYWORD
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sign
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AUTHOR
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N. J. A. Sloane, Dec 18 2003
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EXTENSIONS
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More terms from Salas-Sokal, 2009. - N. J. A. Sloane, Mar 14 2014
Name corrected by Andrey Zabolotskiy, Feb 11 2022
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STATUS
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approved
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