Fuchsian differential equation for the perimeter generating function of   three-choice polygons
  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. 
Anthony J. Guttmann and Iwan Jensen