Using a simple transfer matrix approach we have derived very long series expansions for the perimeter generating function of three-choice polygons. We find that all the terms in the generating function can be reproduced from a linear Fuchsian differential equation of order 8. We perform an analysis of the properties of the differential equation.

@inproceedings{Guttmann2006FuchsianDE,
title={Fuchsian Differential Equation for the Perimeter Generating Function of Three-choice Polygons},
author={Anthony J. Guttmann and Iwan Jensen},
year={2006}
}