problematic functions?

Algebra Level pending

The function f is defined on the set of positive integers as follows: f(1) 1,f(3)3,f(2n)f(n), f(4n +1) 2f(2n+1)−f(n),f(4n+3) 3f(2n+1)−2f(n). Find all values of n with f(n) n and 1 ≤ n ≤ 1988.

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