Villaretq0

2022-06-27

Find an irrational number that does not contain strings of $0$s of arbitrary length in decimal notation.

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odmeravan5c

Expert

$0.121122111222111122221111122222\dots$
where the digits come in alternating blocks of $1$s and $2$s, with the lengths of the blocks increasing. It never repeats, and contains nothing but $1$s and $2$s.

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