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A082838
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Decimal expansion of the (finite) value of the sum_{ k >= 1, k has no digit equal to 9 in base 10 } 1/k.
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10
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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; internal format)
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OFFSET
| 2,1
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REFERENCES
| Julian Havil, Gamma, Exploring Euler's Constant, Princeton University Press, Princeton and Oxford, 2003, page 34.
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LINKS
| 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 (rgwv(AT)rgwv.com), Jun 01 2009]
Wikipedia, Kempner series
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EXAMPLE
| 22.920676619264150348163657094375931914944762436998481568541998356... [From Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 01 2009]
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MATHEMATICA
| (* see the Mmca in Wolfram Library Archive *) [From Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 01 2009]
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CROSSREFS
| Cf. A002387, A024101, A082830 - A082839.
Cf. A140502. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 02 2009]
Sequence in context: A048650 A125313 A199058 * A074961 A037289 A037290
Adjacent sequences: A082835 A082836 A082837 * A082839 A082840 A082841
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KEYWORD
| nonn,cons,base
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 14 2003
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EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 14 2009
More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 01 2009
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