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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). +0
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 (list; cons; graph; listen)
OFFSET

1,1

COMMENT

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)

----------------------------------------- =

7553392231...8000000000 (14816582 digits)

= 8.929948174755443424171179403981525048667286767255408480936913993018768120557239657437064181411273952...

CROSSREFS

Cf. A073531.

Adjacent sequences: A117911 A117912 A117913 this_sequence A117915 A117916 A117917

Sequence in context: A090929 A113210 A021116 this_sequence A021922 A021532 A010532

KEYWORD

nonn,cons

AUTHOR

Eric Weisstein (eric(AT)weisstein.com), Apr 01, 2006

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.


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