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Carry on, Decimal (Posted on 2019-05-20) Difficulty: 3 of 5
Consider the following series written in form of a decimal

A = 1/9 + 1/99 + 1/999 + ... + 1/(10100 - 1)

Find the digit in the 71st place after the decimal point.

No Solution Yet Submitted by Danish Ahmed Khan    
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Cool number | Comment 2 of 3 |
I assume it's irrational.

Its digits are this sequence https://oeis.org/A073668

It seems interesting to me but  the length of the entry indicates the number doesn't come up too often.  Probably because it is restricted to base 10.  It does point out this is 9*the sum of the reciprocals of the repunits.

  Posted by Jer on 2019-05-20 19:44:45
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