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Carry on, Decimal (
Posted on 20190520
)
Consider the following series written in form of a decimal
A = 1/9 + 1/99 + 1/999 + ... + 1/(10
^{100}
 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 20190520 19:44:45
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