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f(f(n))=2n

Source: VI - Rioplatense 1997 L3 P6

September 19, 2022
functionalfunctional equationnumber theoryalgebra

Problem Statement

Let NN be the set of positive integers. Determine if there is a function f:N→Nf: N\to N such that f(f(n))=2nf(f(n))=2n, for all nn belongs to NN.