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Number sequence is present in the decimal expansion of pi?

  1. Apr 14, 2010 #1
    Is it true that every possible finite number sequence is present in the decimal expansion of pi?
     
  2. jcsd
  3. Apr 14, 2010 #2
    Re: Pi

    I don't think there's any way to prove that. It's a completely determined sequence to the nth digit. I think you can only talk about the characteristics of what actually has been calculated.

    For a truly random infinite sequence, you could say that any finite subsequence of digits has a non-zero probability of occurring. For a uniform distribution (each digit 0-9 has the same probability of occurring), the probability of any given sequence of length k occurring is [tex] (0.1)^{k}[/tex].
     
    Last edited: Apr 15, 2010
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