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Bundeswettbewerb Mathematik 1982 Problem 1.1

Source: Bundeswettbewerb Mathematik 1982 Round 1

September 22, 2022
DivisorsSumnumber theory

Problem Statement

Let SS be the sum of the greatest odd divisors of the natural numbers 11 through 2n2^n. Prove that 3S=4n+23S = 4^n + 2.
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