This problem defines a function f where f(1)=1 and f(2n) is equal to n multiplied by f(n) for any positive integer n. It then asks what the value of f(2^100) would be.

1. POTW # 11
By: Marc Poirier
5/14 – 5/18

2. The Problem
• Let f be a function with the following
properties: f(1) = 1; and f(2n) = (n)(f(n)) for
any positive integer n. What is the value of
f(2^100)?