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A082837 Decimal expansion of the (finite) value of the sum_{ k >= 1, k has no digit equal to 8 in base 10 } 1/k. 9
2, 2, 7, 2, 6, 3, 6, 5, 4, 0, 2, 6, 7, 9, 3, 7, 0, 6, 0, 2, 8, 3, 3, 6, 4, 4, 1, 5, 6, 7, 4, 2, 5, 5, 7, 8, 8, 9, 2, 1, 0, 7, 0, 2, 6, 1, 6, 3, 6, 0, 2, 1, 9, 8, 4, 3, 5, 3, 6, 3, 7, 6, 1, 6, 2, 4, 0, 0, 4, 6, 8, 2, 0, 1, 7, 5, 1, 3, 4, 8, 1, 2, 7, 0, 1, 0, 5, 6, 2, 1, 6, 5, 1, 5, 8, 9, 2, 2, 4, 7, 7, 5, 7, 9, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

2,1

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]

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

22.72636540267937060283...

= 22.726365402679370602833644156742557889210702616360219843536376162... - Robert G. Wilson v, Jun 01 2009

MATHEMATICA

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

CROSSREFS

Cf. A002387, A024101, A082830, A082831, A082832, A082833, A082834, A082835, A082836, A082838, A082839.

Sequence in context: A286370 A138069 A208475 * A138115 A021444 A029632

Adjacent sequences:  A082834 A082835 A082836 * A082838 A082839 A082840

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 15 22:48 EDT 2019. Contains 325061 sequences. (Running on oeis4.)