%I A082838
%S A082838 2,2,9,2,0,6,7,6,6,1,9,2,6,4,1,5,0,3,4,8,1,6,3,6,5,7,0,9,4,3,7,5,9,3,1,
%T A082838 9,1,4,9,4,4,7,6,2,4,3,6,9,9,8,4,8,1,5,6,8,5,4,1,9,9,8,3,5,6,5,7,2,1,5,
%U A082838 6,3,3,8,1,8,9,9,1,1,1,2,9,4,4,5,6,2,6,0,3,7,4,4,8,2,0,1,8,9,8,9,9,0,9
%N A082838 Decimal expansion of the (finite) value of the sum_{ k >= 1, k has no 
               digit equal to 9 in base 10 } 1/k.
%D A082838 Robert Baillie, Sums of reciprocals of integers missing a given digit, 
               Amer. Math. Monthly, 86 (1979), 372-374.
%D A082838 Julian Havil, Gamma, Exploring Euler's Constant, Princeton University 
               Press, Princeton and Oxford, 2003, page 34.
%H A082838 Baillie, Revised August 17, 2008, <a href="http://arxiv.org/ftp/arxiv/
               papers/0806/0806.4410.pdf"> Summing The Curious Series Of Kempner 
               And Irwin</a> [From Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 01 
               2009]
%H A082838 Wolfram Library Archive, KempnerSums.nb (8.6 KB) - Mathematica Notebook, 
               <a href="http://library.wolfram.com/infocenter/MathSource/7166/"> 
               Summing Kempner's Curious (Slowly-Convergent) Series</a> [From Robert 
               G. Wilson v (rgwv(AT)rgwv.com), Jun 01 2009]
%H A082838 R. Baillie, <a href="http://arxiv.org/abs/0806.4410">Summing the curious 
               series of Kempner and Irwin</a>, arXiv:0806.4410 [math.CA] (2008). 
               [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 02 2009]
%e A082838 22.92067661926415034816...
%e A082838 = 22.920676619264150348163657094375931914944762436998481568541998356... 
               [From Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 01 2009]
%t A082838 (* see the Mmca in Wolfram Library Archive *) [From Robert G. Wilson 
               v (rgwv(AT)rgwv.com), Jun 01 2009]
%Y A082838 Cf. A002387, A024101, A082830, A082831, A082832, A082833, A082834, A082835, 
               A082836, A082837, A082839.
%Y A082838 Cf. A140502. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 02 
               2009]
%Y A082838 Sequence in context: A011148 A048650 A125313 this_sequence A074961 A037289 
               A037290
%Y A082838 Adjacent sequences: A082835 A082836 A082837 this_sequence A082839 A082840 
               A082841
%K A082838 nonn,cons,base
%O A082838 2,1
%A A082838 Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 14 2003
%E A082838 More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 14 2009
%E A082838 More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 01 2009