Number sequence is present in the decimal expansion of pi?

the4thamigo_uk
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Is it true that every possible finite number sequence is present in the decimal expansion of pi?
 
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the4thamigo_uk said:
Is it true that every possible finite number sequence is present in the decimal expansion of 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 (0.1)^{k}.
 
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