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A194183 Decimal expansion of the (finite) value of Sum_{ k>=1, k has no "0" digit in base 100 } 1/k.

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%I A194183 #14 Jun 15 2023 02:25:56
%S A194183 4,6,0,5,2,5,2,0,2,6,3,8,5,1,2,4,7,1,1,4,2,9,3,6,7,5,3,5,6,6,4,1,5,2,
%T A194183 9,4,9,7,1,2,5,6,9,0,9,9,0,8,4,7,9,3,4,0,6,0,1,6,9,5,6,7,2,8,7,2,5,0,
%U A194183 0,6,8,1,8,8,6,4,2,1,4,6,9,6,7,2,2,8,7,5,0,7,1,7,6,2,7,5,8,2,5,4,7,9,4
%N A194183 Decimal expansion of the (finite) value of Sum_{ k>=1, k has no "0" digit in base 100 } 1/k.
%H A194183 Robert Baillie and Thomas Schmelzer, <a href="https://library.wolfram.com/infocenter/MathSource/7166/">Summing Kempner's Curious (Slowly-Convergent) Series</a>, Mathematica Notebook kempnerSums.nb, Wolfram Library Archive, 2008.
%H A194183 Wikipedia, <a href="http://en.wikipedia.org/wiki/Kempner_series">Kempner series</a>.
%e A194183 460.525202638512471142936753566415294971256909908479340601695672872...
%t A194183 RealDigits[kSum[0, 120, 100]][[1]] (* _Amiram Eldar_, Jun 15 2023, using Baillie and Schmelzer's kempnerSums.nb, see Links *)
%Y A194183 Cf. A082839.
%K A194183 base,cons,nonn
%O A194183 3,1
%A A194183 _Robert G. Wilson v_, Aug 18 2011