[sw293]

Originally Posted by Nuttyman54

an interesting proof about Pi is that any given sequence of numbers (1234 for example) will appear the exact same number of times as any other sequence (5678) with the same number of digits. (this isn't explicitly what the proof says, but i'm pretty sure you can continue it to prove that) I'm unsure, but i think this may be true for any irrational number. I couldn't be bothered to attempt a formal proof so far.

Hmm...

Consider:
.15115111511115111115111111511111115...

This is clearly not generated by random digits but I don't think it's rational.