Lately I've had composers block, so to alleviate this I looked on the internet to find a mathematical sequence with which to compose a song. Since the Fibonacci sequence tends to be used to much, and I've used it before, I chose the Thue-Morse sequence (http://en.wikipedia.org/wiki/Thue-Morse_Sequence if you want to know more). A few note and rhythm patterns follow the sequence. I'll spare you the geek talk, visit the Wikipedia link if you want to know more about it.
Great, now as a challenge you could try doing something with Fibonacci or fractals