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.Comment: 13 pages, 2 figures, talk presented in honour of X. Viennot at
Seminaire Lotharengien, Lucelle, France, April 3-6 2005. Paper amended and
sligtly expanded after refereein
