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A117914
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Decimal expansion of the sum of the reciprocals of all positive integers having distinct digits (there are exactly 8877690 such integers).
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0
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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; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Since there are only finitely many such numbers, the sum is rational.
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LINKS
| Eric Weisstein's World of Mathematics, Digit
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EXAMPLE
| 6745140117...4801548051 (14816583 digits)
----------------------------------------- =
7553392231...8000000000 (14816582 digits)
= 8.929948174755443424171179403981525048667286767255408480936913993018768120557239657437064181411273952...
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CROSSREFS
| Cf. A073531.
Sequence in context: A201406 A198142 A202623 * A203077 A197392 A021922
Adjacent sequences: A117911 A117912 A117913 * A117915 A117916 A117917
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KEYWORD
| nonn,cons,base
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AUTHOR
| Eric Weisstein (eric(AT)weisstein.com), Apr 01, 2006
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