Can you get 15 on the first try? ...NO CHEATING!!
Mini-version of the Tower of Hanoi
Tower of Hanoi | Thinks.com
3 discs is too easy. Bump it up to 4 to start with.
If you start with 4 discs you should be able to get it down to 15 moves. I think that's about the lowest number of possible moves to completion that you can go.
Any mathematicians in here should know this one well...