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A082835 Decimal expansion of the (finite) value of the sum_{ k >= 1, k has no digit equal to 6 in base 10 } 1/k. 9

%I

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

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

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

%N Decimal expansion of the (finite) value of the sum_{ k >= 1, k has no digit equal to 6 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], 2008-2013. [From _Robert G. Wilson v_, Jun 01 2009]

%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> [From _Robert G. Wilson v_, Jun 01 2009]

%e 22.20559815955609188416738048000752710519385610666846327027693823... _Robert G. Wilson v_, Jun 01 2009

%t (* see the Mmca in Wolfram Library Archive *) (* _Robert G. Wilson v_, Jun 01 2009 *)

%Y Cf. A002387, A024101, A082830, A082831, A082832, A082833, A082834, A082836, A082837, A082838, A082839.

%K nonn,cons,base

%O 2,1

%A _Robert G. Wilson v_, Apr 14 2003

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Last modified August 20 22:45 EDT 2019. Contains 326155 sequences. (Running on oeis4.)