Irina Gheorghiciuc

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20052020

most citedA weighted interpretation for the super Catalan numbers

3 citations · 7 across the 4 of their papers we have counts for

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math.CO2020★ 1 cited

Super-Catalan Numbers of the Third and Fourth Kind

Irina Gheorghiciuc, Gidon Orelowitz

The Super-Catalan numbers are a generalization of the Catalan numbers defined as $T (m, n) = \frac{( 2 m )! ( 2 n )!}{2 m ! n ! ( m + n )!}$ . It is an open problem to find a combinatorial interpreta…

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…

math.CO2005

The subword complexity of a class of infinite binary words

Irina Gheorghiciuc

Let $A_{q}$ be a $q$ -letter alphabet and $w$ be a right infinite word on this alphabet. A subword of $w$ is a block of consecutive letters of $w$ . The subword complexity function of…