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A082835
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Decimal expansion of the (finite) value of the sum_{ k >= 1, k has no digit equal to 6 in base 10 } 1/k.
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9
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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, 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, 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
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 2,1
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REFERENCES
| Robert Baillie, Sums of reciprocals of integers missing a given digit, Amer. Math. Monthly, 86 (1979), 372-374.
Julian Havil, Gamma, Exploring Euler's Constant, Princeton University Press, Princeton and Oxford, 2003, page 34.
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LINKS
| Baillie, Revised August 17, 2008, Summing The Curious Series Of Kempner And Irwin [From Robert G. Wilson v (rgwv(AT)rgwv.com), 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 (rgwv(AT)rgwv.com), Jun 01 2009]
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EXAMPLE
| 22.20559815955609188416...
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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, A082831, A082832, A082833, A082834, A082836, A082837, A082838, A082839.
Sequence in context: A084203 A073358 A124342 * A104241 A011139 A136663
Adjacent sequences: A082832 A082833 A082834 * A082836 A082837 A082838
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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
| = 22.20559815955609188416738048000752710519385610666846327027693823... Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 01 2009
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