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All finite sequences of positive integers

Source: IMO LongList 1988, West Germany 2, Problem 15 of ILL

October 22, 2005
algebra unsolvedalgebra

Problem Statement

Let 1≤k≤n.1 \leq k \leq n. Consider all finite sequences of positive integers with sum n.n. Find T(n,k),T(n,k), the total number of terms of size kk in all of the sequences.
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