Doron Zeilberger
Published 1998-11-18, updated 1998-11-19Version 2
Using the celebrated Morris Constant Term Identity, we deduce a recent conjecture of Chan, Robbins, and Yuen (math.CO/9810154), that asserts that the volume of a certain $n(n-1)/2$-dimensional polytope is given by the product of the first n-1 Catalan numbers.
Comments: 1 page (plain TeX), proves a conjecture raised in math.CO/9810154. This version also sketches the proofs of conjs. 2 and 3
The Limiting Distribution of the Coefficients of the $q$-Catalan Numbers
Two New Identities Involving the Catalan Numbers: A classical approach
Chebyshev polynomials, their remarkable properties and connection with Catalan numbers
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