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

Author

Eric W. Weisstein, Apr 01 2006

Keywords

• nonn
• cons
• base

Comments

Since there are only finitely many such numbers, the sum is rational.

Examples

			6745140117...4801548051 (14816583 digits)
----------------------------------------- = 8.9299481747554434241711794....
7553392231...8000000000 (14816582 digits)
		

Links

• Eric Weisstein's World of Mathematics, Digit

Crossrefs

Cf. A073531.