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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
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