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A082832
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Decimal expansion of the (finite) value of the sum_{ k >= 1, k has no digit equal to 3 in base 10 } 1/k.
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9
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2, 0, 5, 6, 9, 8, 7, 7, 9, 5, 0, 9, 6, 1, 2, 3, 0, 3, 7, 1, 0, 7, 5, 2, 1, 7, 4, 1, 9, 0, 5, 3, 1, 1, 1, 4, 1, 4, 1, 5, 3, 8, 6, 9, 6, 7, 4, 7, 3, 0, 7, 8, 3, 4, 8, 9, 5, 0, 8, 5, 2, 8, 5, 0, 0, 2, 6, 7, 2, 9, 4, 9, 9, 6, 1, 9, 3, 8, 0, 3, 5, 0, 0, 5, 9, 0, 4, 7, 4, 9, 4, 0, 8, 0, 6, 0, 3, 5, 3, 4, 9, 8, 7, 9, 0
(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
| 20.56987795096123037107...
= 20.569877950961230371075217419053111414153869674730783489508528500... [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, A082831, A082833, A082834, A082835, A082836, A082837, A082838, A082839.
Sequence in context: A051111 A068558 A188724 * A097709 A197877 A104555
Adjacent sequences: A082829 A082830 A082831 * A082833 A082834 A082835
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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), Jun 01 2009
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