Question 18
Let $\mathbb N$ denote the set of all positive integers. Suppose that $f:\mathbb N\to\mathbb N$ satisfies
(a) $f(1)=1$,
(b) $3f(n)f(2n+1)=f(2n)(1+3f(n))$ for all $n\in\mathbb N$,
(c) $f(2n)<6f(n)$ for all $n\in\mathbb N$.
Determine $f(2015)$.
(a) $f(1)=1$,
(b) $3f(n)f(2n+1)=f(2n)(1+3f(n))$ for all $n\in\mathbb N$,
(c) $f(2n)<6f(n)$ for all $n\in\mathbb N$.
Determine $f(2015)$.