Any idea about Images of a Function?Algebra Level 5
Let \(f\) be a function from the set of all non-negative integers into itself such that:
\((f(2n+1))^2 - (f(2n))^2 = 6f(n) + 1\), and
\(f(2n) \geq f(n)\)
How many numbers less than \(2015\) are there in the image of \(f\)?