MathDB
2001 BAMO p3 f (n) pos. integer, f(n+1) > f(n), f(f(n)) = 3n, f(2001)=?

Source:

August 26, 2019
functionalgebraInteger

Problem Statement

Let f(n)f (n) be a function satisfying the following three conditions for all positive integers nn: (a) f(n)f (n) is a positive integer, (b) f(n+1)>f(n)f (n + 1) > f (n), (c) f(f(n))=3nf ( f (n)) = 3n. Find f(2001)f (2001).