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Proof of a conjecture of Chan, Robbins, and Yuen. (English) Zbl 0941.05006
Summary: Using the celebrated Morris constant term identity, we deduce a recent conjecture of Chan, Robbins, and Yuen, that asserts that the volume of a certain $$n(n - 1)/2$$-dimensional polytope is given in terms of the product of the first $$n - 1$$ Catalan numbers.

##### MSC:
 05A19 Combinatorial identities, bijective combinatorics 52B05 Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) 05A15 Exact enumeration problems, generating functions
##### Keywords:
Morris constant term identity; polytope; Catalan numbers
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