%0 Journal Article
%T A weighted interpretation for the super Catalan numbers
%A Emily Allen
%A Irina Gheorghiciuc
%J Mathematics
%D 2014
%I arXiv
%X The super Catalan numbers $T(m,n)=(2m)!(2n)!/2m!n!(m+n)!$ are integers which generalize the Catalan numbers. With the exception of a few values of $m$, no combinatorial interpretation in known for $T(m,n)$. We give a weighted interpretation for $T(m,n)$ and develop a technique that converts this weighted interpretation into a conventional combinatorial interpretation in the case $m=2$.
%U http://arxiv.org/abs/1403.5246v2