Emily Allen

most citedA weighted interpretation for the super Catalan numbers

3 citations · 6 across the 2 of their papers we have counts for

collaborators

2 papers

math.CO2014★ 3 cited

On super Catalan polynomials

Emily Allen, Irina Gheorghiciuc

We present a $q$ -analog of the super Catalan number $(2 m)! (2 n)! /2 m! n! (m + n)!$ , which also generalizes the $q$ -Catalan numbers $c_{n} (λ)$ , due to Fürlinger and Hofbauer, for $λ = 0$ and…

math.CO2014★ 3 cited

A weighted interpretation for the super Catalan numbers

Emily Allen, Irina Gheorghiciuc

The super Catalan numbers $T (m, n) = (2 m)! (2 n)! /2 m! n! (m + n)!$ are integers which generalize the Catalan numbers. With the exception of a few values of $m$ , no combinatorial interpretat…