A117914 Decimal expansion of the sum of the reciprocals of all positive integers having distinct digits (there are exactly 8877690 such integers).

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

Table of n, a(n) for n=1..105.

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

Adjacent sequences: A117911 A117912 A117913 * A117915 A117916 A117917

Keyword

nonn,cons,base

Author

Eric W. Weisstein, Apr 01 2006

Status

approved