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A082831 Decimal expansion of the (finite) value of the sum_{ k >= 1, k has no digit equal to 2 in base 10 } 1/k. 9


%S 1,9,2,5,7,3,5,6,5,3,2,8,0,8,0,7,2,2,2,4,5,3,2,7,7,6,7,7,0,1,9,4,4,5,

%T 4,1,1,5,5,2,6,0,5,3,8,3,1,1,5,4,8,7,0,1,4,9,8,6,8,3,6,2,9,4,9,1,0,4,

%U 3,0,9,0,1,6,0,1,9,5,5,1,8,0,9,2,8,0,5,4,6,2,2,1,1,2,8,4,4,2,8,6,3,5,5,6,5

%N Decimal expansion of the (finite) value of the sum_{ k >= 1, k has no digit equal to 2 in base 10 } 1/k.

%D Julian Havil, Gamma, Exploring Euler's Constant, Princeton University Press, Princeton and Oxford, 2003, page 34.

%H Robert Baillie, <a href="http://www.jstor.org/stable/2321096">Sums of reciprocals of integers missing a given digit</a>, Amer. Math. Monthly, 86 (1979), 372-374.

%H Robert Baillie, <a href="http://arxiv.org/abs/0806.4410">Summing the curious series of Kempner and Irwin</a>, arXiv:0806.4410 [math.CA], 2008-2015.

%H 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>

%e 19.25735653280807222453277677019445411552605383115487014986836294...

%t (* see the Mmca in Wolfram Library Archive *)

%Y Cf. A002387, A024101, A082830, A082832, A082833, A082834, A082835, A082836, A082837, A082838, A082839.

%K nonn,cons,base

%O 2,2

%A _Robert G. Wilson v_, Apr 14 2003

%E More terms from _Robert G. Wilson v_, Jun 01 2009

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Last modified October 13 16:45 EDT 2019. Contains 327968 sequences. (Running on oeis4.)