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I’m sorry, but I don’t think you quite understand what randomness, or pseudorandomness, means. In a truly random sequence, the probability of any given finite sequence appearing in it is 1.



AFAIK, nobody proved that Pi digits sequence is normal. See https://www.quora.com/How-random-are-the-digits-in-pi . So it quite possible for some finite sequences to be omitted from the Pi digits sequence.




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