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On super Catalan polynomials (1403.5296v2)
Published 20 Mar 2014 in math.CO
Abstract: We present a $q$-analog of the super Catalan number $(2m)!(2n)!/2m!n!(m+n)!$, which also generalizes the $q$-Catalan numbers $c_n(\lambda)$, due to F\"urlinger and Hofbauer, for $\lambda=0$ and $\lambda=1$. We give a combinatorial interpretation for this analog when $m=2$.