A Combinatorial Interpretation of The Numbers $6(2n)! /n! (n+2)!$

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dc.creatorGessel, Ira M.
dc.creatorXin, Guoce
dc.date2004-01-22
dc.date2004-08-06
dc.date.accessioned2026-07-07T05:04:46Z
dc.date.available2026-07-07T05:04:46Z
dc.descriptionIt is well known that the numbers $(2m)! (2n)!/m! n! (m+n)!$ are integers, but in general there is no known combinatorial interpretation for them. When $m=0$ these numbers are the middle binomial coefficients $\binom{2n}{n}$, and when $m=1$ they are twice the Catalan numbers. In this paper, we give combinatorial interpretations for these numbers when $m=2$ or 3.
dc.description11 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0401300
dc.identifierhttp://arxiv.org/abs/math/0401300
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69932
dc.subjectCombinatorics
dc.subject05A10
dc.titleA Combinatorial Interpretation of The Numbers $6(2n)! /n! (n+2)!$
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