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Composition Of Integers With Bounded Parts, Darren B. Glass
Composition Of Integers With Bounded Parts, Darren B. Glass
Math Faculty Publications
In this note, we consider ordered partitions of integers such that each entry is no more than a fixed portion of the sum. We give a method for constructing all such compositions as well as both an explicit formula and a generating function describing the number of k-tuples whose entries are bounded in this way and sum to a fixed value g.