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A090673 Large-q series expansion for the bulk free energy of the square-lattice zero-temperature Potts antiferromagnet, in terms of the variable z = 1/(q - 1). 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,9

COMMENTS

Related to chromatic polynomial of the infinite square grid.

REFERENCES

N. Biggs, Algebraic Graph Theory, Cambridge, 2nd. Ed., 1993, p. 96.

D. Kim and I. G. Enting, The limit of chromatic polynomials, J. Combin. Theory B26 (1979), 327-336.

LINKS

Table of n, a(n) for n=0..46.

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.

CROSSREFS

Cf. A238835, A238836.

Sequence in context: A246820 A094237 A016654 * A270827 A293072 A120447

Adjacent sequences:  A090670 A090671 A090672 * A090674 A090675 A090676

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Dec 18 2003

EXTENSIONS

More terms from Salas-Sokal, 2009. - N. J. A. Sloane, Mar 14 2014

STATUS

approved

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Last modified January 27 22:48 EST 2022. Contains 350654 sequences. (Running on oeis4.)