%0 Journal Article
%T A proof of Catalan's Convolution formula
%A Alon Regev
%J Mathematics
%D 2011
%I arXiv
%X We give a new proof of the $k$-fold convolution of the Catalan numbers. This is done by enumerating a certain class of polygonal dissections called $k$-in-$n$ dissections. Furthermore, we give a formula for the average number of cycles in a triangulation.
%U http://arxiv.org/abs/1109.0571v1