Let $b:=\overline{0,b_{1},...}$ such that $b_{k} \in \{1,2\}$ and $b$ is irrational. Is $0,121122111222...$ a good example? Can you give me another example of number like this?
2026-03-25 10:57:07.1774436227
Example of an irrational number of this form.
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It is correct, since that decimal expansion is not almost-periodic. Another possibility would be $0.121221222122221\ldots$.