Recent content by jdp

Supplementary question to "interesting problem" post If f(2x)=f(f(x)) and f(2x+1)=f(2x)+1 then for what value n such that n is in the set of natural numbers could f(0) equal 2^n. also for what value n does f(0) equal 2^n +2?

Yes, I clarified. Exactly like this. I just don't know where to start

One of my friends showed me this problem and I've been thinking about it all day. It's something like if f(2x) is equal to f(f(y)) and that f(2y) + 1 is f(2y +1) and f(0) is 0, what is f(n). It seems very maclaurin esque to me but... anyway... first post and pretty nice problem. Would love help...