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A082830 Decimal expansion of the (finite) value of the sum_{ k >= 1, k has no digit equal to 1 in base 10 } 1/k. 12
1, 6, 1, 7, 6, 9, 6, 9, 5, 2, 8, 1, 2, 3, 4, 4, 4, 2, 6, 6, 5, 7, 9, 6, 0, 3, 8, 8, 0, 3, 6, 4, 0, 0, 9, 3, 0, 5, 5, 6, 7, 2, 1, 9, 7, 9, 0, 7, 6, 3, 1, 3, 3, 8, 6, 4, 5, 1, 6, 9, 0, 6, 4, 9, 0, 8, 3, 6, 3, 6, 2, 9, 8, 8, 9, 9, 9, 9, 9, 6, 4, 5, 6, 3, 8, 8, 8, 6, 2, 1, 4, 6, 2, 6, 6, 8, 5, 0, 2, 8, 6, 2, 9, 7, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

2,2

REFERENCES

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

LINKS

Table of n, a(n) for n=2..106.

Robert Baillie, Sums of reciprocals of integers missing a given digit, Amer. Math. Monthly, 86 (1979), 372-374.

Robert Baillie, Summing The Curious Series Of Kempner And Irwin arXiv:0806.4410 [math.CA], 2008-2015. [From Robert G. Wilson v, Jun 01 2009]

Wikipedia, Kempner Series

Eric Weisstein, Kempner Series, MathWorld. [From R. J. Mathar, Aug 07 2010]

Wolfram Library Archive, KempnerSums.nb (8.6 KB) - Mathematica Notebook, Summing Kempner's Curious (Slowly-Convergent) Series [From Robert G. Wilson v, Jun 01 2009]

EXAMPLE

16.17696952812344426657...

MATHEMATICA

(* see the Mmca in Wolfram Library Archive *) (* Robert G. Wilson v, Jun 01 2009 *)

CROSSREFS

Cf. A002387, A024101, A082831, A082832, A082833, A082834, A082835, A082836, A082837, A082838, A082839.

Sequence in context: A198420 A110942 A274014 * A261622 A046902 A204205

Adjacent sequences:  A082827 A082828 A082829 * A082831 A082832 A082833

KEYWORD

nonn,cons,base

AUTHOR

Robert G. Wilson v, Apr 14 2003

EXTENSIONS

More terms from Robert G. Wilson v, Jun 01 2009

STATUS

approved

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Last modified July 18 15:44 EDT 2019. Contains 325144 sequences. (Running on oeis4.)