  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
$m=2$.
