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strictly monotonous functions f : N \to N , f(f(n)) = 3n

Source: Switzerland - Swiss TST 2003 p10

February 18, 2020
functional equationfunctionalalgebra

Problem Statement

Find all strictly monotonous functions f:N→Nf : N \to N that satisfy f(f(n))=3nf(f(n)) = 3n for all n∈Nn \in N.
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