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A082838 Decimal expansion of the (finite) value of the sum_{ k >= 1, k has no digit equal to 9 in base 10 } 1/k. 10
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, 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, 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 (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.

R. Baillie, Summing The Curious Series Of Kempner And Irwin, arXiv:0806.4410 [math.CA]

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]

Wikipedia, Kempner series

EXAMPLE

22.920676619264150348163657094375931914944762436998481568541998356... [From Robert G. Wilson v, Jun 01 2009]

MATHEMATICA

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

CROSSREFS

Cf. A002387, A024101, A082830 - A082839.

Cf. A140502. [From R. J. Mathar, Jun 02 2009]

Sequence in context: A048650 A125313 A199058 * A074961 A037289 A037290

Adjacent sequences:  A082835 A082836 A082837 * A082839 A082840 A082841

KEYWORD

nonn,cons,base

AUTHOR

Robert G. Wilson v, Apr 14 2003

EXTENSIONS

More terms from Robert G. Wilson v, Apr 14 2009

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

STATUS

approved

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Last modified December 20 13:02 EST 2014. Contains 252257 sequences.