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A117914
Decimal expansion of the sum of the reciprocals of all positive integers having distinct digits (there are exactly 8877690 such integers).
1
8, 9, 2, 9, 9, 4, 8, 1, 7, 4, 7, 5, 5, 4, 4, 3, 4, 2, 4, 1, 7, 1, 1, 7, 9, 4, 0, 3, 9, 8, 1, 5, 2, 5, 0, 4, 8, 6, 6, 7, 2, 8, 6, 7, 6, 7, 2, 5, 5, 4, 0, 8, 4, 8, 0, 9, 3, 6, 9, 1, 3, 9, 9, 3, 0, 1, 8, 7, 6, 8, 1, 2, 0, 5, 5, 7, 2, 3, 9, 6, 5, 7, 4, 3, 7, 0, 6, 4, 1, 8, 1, 4, 1, 1, 2, 7, 3, 9, 5, 1, 7, 9, 2, 7, 1
OFFSET
1,1
COMMENTS
Since there are only finitely many such numbers, the sum is rational.
LINKS
Eric Weisstein's World of Mathematics, Digit
EXAMPLE
6745140117...4801548051 (14816583 digits)
----------------------------------------- = 8.9299481747554434241711794....
7553392231...8000000000 (14816582 digits)
CROSSREFS
Cf. A073531.
Sequence in context: A336056 A202623 A266261 * A203077 A339800 A197392
KEYWORD
nonn,cons,base
AUTHOR
Eric W. Weisstein, Apr 01 2006
STATUS
approved