Given: f is a function with domain and range of the positive integers, and f satisfies these two conditions:
(1) f(n+1) > f(n); that is, f is strictly increasing, and
(2) f(f(n)) = 3n
Find all possible values of f(955)
I noticed that if the problem had stated a domain and range of positive real
numbers instead of integers, then f(n)=n*sqrt(3).