Geodesic
Proof of a conjecture of Chan, Robbins, and Yuen
Electronic transactions on numerical analysis, Tome 9 (1999), pp. 147-148
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 in terms of the product of the first n - 1 Catalan numbers.
Classification : 05-XX, 52B05
Keywords: combinatorics, Catalan numbers, polytope 
@article{ETNA_1999__9__a0,
     author = {Zeilberger,  Doron},
     title = {Proof of a conjecture of {Chan,} {Robbins,} and {Yuen}},
     journal = {Electronic transactions on numerical analysis},
     pages = {147--148},
     year = {1999},
     volume = {9},
     zbl = {0941.05006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_1999__9__a0/}
}
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Zeilberger,  Doron. Proof of a conjecture of Chan, Robbins, and Yuen. Electronic transactions on numerical analysis, Tome 9 (1999), pp. 147-148. http://geodesic.mathdoc.fr/item/ETNA_1999__9__a0/