Let \(f:\mathbb{R^+} \rightarrow \mathbb{R^+}\) be a function satisfying
\(f(1)=2\)
\(f(2)=1\)
\(f(3n)=3f(n)\)
\(f(3n+1)=3f(n)+2\)
\(f(3n+2)=3f(n)+1.\)
Find the number of integers \(n \leq 2006\) such that \(f(n)=2n.\)
See Part 2 if you enjoyed this problem! :D
by
Finn Hulse
