Curious fraction or interesting decimal!

If you divide 1 1 by 243 243 you get 0.004115226337448559... 0.004115226337448559 ... after 559 559 it gets a bit complicated when you carry out the decimal expansion since the pattern is lost during some steps, but then the pattern becomes indeterminate and follows very well. Does it do this indifferently or does it stop after a certain number of repetitions?

No, after a certain number of repetitions it stops. You can not know. Yes, it does it indefinitely.

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