A117914 - OEIS

%I #12 Feb 16 2025 08:33:00

%S 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,

%T 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,

%U 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

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

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

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Digit.html">Digit</a>

%e 6745140117...4801548051 (14816583 digits)

%e ----------------------------------------- = 8.9299481747554434241711794....

%e 7553392231...8000000000 (14816582 digits)

%Y Cf. A073531.

%K nonn,cons,base

%O 1,1

%A _Eric W. Weisstein_, Apr 01 2006