Algebra Universalis (special Rota
memorial issue), 49, 2003, p. 387-395
Dominique Foata, Doron Zeilberger
The Collector's Brotherhood
Problem Using the Newman-Shepp Symbolic Method
Abstract.Further computations are made on the traditional
coupon collector's problem when the collector shares his harvest with his
younger brothers. When the book of the p-th brother of the
collector is completed, the books of the younger brothers have
certain numbers of empty spots. On the average, how many?
Several answers can be brought to that question.
foata@math.u-strasbg.fr, zeilberg@math.rutgers.edu
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