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Part of 1964 Miklós Schweitzer

Problems(1)

Miklos Schweitzer 1964_1

Source:

9/20/2008
Among all possible representations of the positive integer n n as n\equal{}\sum_{i\equal{}1}^k a_i with positive integers k,a1<a2<...<ak k, a_1 < a_2 < ...<a_k, when will the product \prod_{i\equal{}1}^k a_i be maximum?
combinatorics proposedcombinatorics