cp's OEIS Frontend

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

%I A117914 #12 Feb 16 2025 08:33:00
%S A117914 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 A117914 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 A117914 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 A117914 Decimal expansion of the sum of the reciprocals of all positive integers having distinct digits (there are exactly 8877690 such integers).
%C A117914 Since there are only finitely many such numbers, the sum is rational.
%H A117914 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Digit.html">Digit</a>
%e A117914 6745140117...4801548051 (14816583 digits)
%e A117914 ----------------------------------------- = 8.9299481747554434241711794....
%e A117914 7553392231...8000000000 (14816582 digits)
%Y A117914 Cf. A073531.
%K A117914 nonn,cons,base
%O A117914 1,1
%A A117914 _Eric W. Weisstein_, Apr 01 2006