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Bundeswettbewerb Mathematik 1993 Problem 1.1

Source: Bundeswettbewerb Mathematik 1993 Round 1

October 9, 2022
combinatoricsSumsummandIntegers

Problem Statement

Every positive integer n>2n>2 can be written as a sum of distinct positive integers. Let A(n)A(n) be the maximal number of summands in such a representation. Find a formula for A(n).A(n).
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