MathDB

in Z_+ : f(f(f(n))) + f(f(n)) + f(n) = 3n

Source: 2008 Dutch IMO TST P1

January 10, 2020

functional equationfunctional equation in Nalgebra

Problem Statement

Find all funtions

f : Z_{>0} \to Z_{>0}

that satisfy

f(f(f(n))) + f(f(n)) + f(n) = 3n

for all

n \in Z_{>0}