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Two Uniformly Distributed Parameters Defining Catalan Numbers

1999

Consider the 2n choose n lattice paths of n upstrokes and n downstrokes. The number of upstrokes above the base line--northcount--and the number of upstrokes left of the (leftmost) highest point--westcount--both have uniform distributions. This note gives a simple bijection explaining why.
Last modified by dc on Sep 20 1999