The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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). 3

%I #14 Jun 11 2022 03:33:12

%S 1,0,0,1,0,0,0,4,12,20,28,67,208,484,753,750,679,2320,10020,30548,

%T 68832,108744,65229,-236055,-739289,101404,7201383,26255714,43505098,

%U -17552274,-291420026,-674637832,27442,4426763291,12910062402,9737827437,-49131891078,-184470253912,-183956055539,621518352427,2660084937207,3075466954690,-7500763944932,-34822638005931,-38841312202313,104412348649015,448320847685638

%N 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).

%H Andrey Zabolotskiy, <a href="/A238836/b238836.txt">Table of n, a(n) for n = 0..78</a> (from Jacobsen 2010)

%H Jesper Lykke Jacobsen, <a href="https://doi.org/10.1088/1751-8113/43/31/315002">Bulk, surface and corner free-energy series for the chromatic polynomial on the square and triangular lattices</a>, J. Phys. A: Math. Theor., 43 (2010), 315002; arXiv:<a href="https://arxiv.org/abs/1005.3609">1005.3609</a> [cond-mat.stat-mech], 2010.

%H J. Salas and A. D. Sokal, <a href="http://arxiv.org/abs/0711.1738">Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models. V. Further Results for the Square-Lattice Chromatic Polynomial</a>, J. Stat. Phys. 135 (2009) 279-373; arXiv:0711.1738 [cond-mat.stat-mech], 2007-2009. Mentions this sequence.

%Y Cf. A090673, A238835.

%K sign

%O 0,8

%A _N. J. A. Sloane_, Mar 14 2014

%E Name corrected by _Andrey Zabolotskiy_, Feb 12 2022

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 31 22:12 EDT 2024. Contains 373007 sequences. (Running on oeis4.)