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A082830
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Decimal expansion of the (finite) value of the sum_{ k >= 1, k has no digit equal to 1 in base 10 } 1/k.
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12
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1, 6, 1, 7, 6, 9, 6, 9, 5, 2, 8, 1, 2, 3, 4, 4, 4, 2, 6, 6, 5, 7, 9, 6, 0, 3, 8, 8, 0, 3, 6, 4, 0, 0, 9, 3, 0, 5, 5, 6, 7, 2, 1, 9, 7, 9, 0, 7, 6, 3, 1, 3, 3, 8, 6, 4, 5, 1, 6, 9, 0, 6, 4, 9, 0, 8, 3, 6, 3, 6, 2, 9, 8, 8, 9, 9, 9, 9, 9, 6, 4, 5, 6, 3, 8, 8, 8, 6, 2, 1, 4, 6, 2, 6, 6, 8, 5, 0, 2, 8, 6, 2, 9, 7, 7
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refs;
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OFFSET
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2,2
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REFERENCES
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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
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Table of n, a(n) for n=2..106.
Anonymous, Kempner Series, Wikipedia. [From R. J. Mathar, Aug 07 2010]
Robert Baillie, Revised August 17, 2008, Summing The Curious Series Of Kempner And Irwin arXiv:0806.4410 [From Robert G. Wilson v, Jun 01 2009]
Eric Weisstein, Kempner Series, MathWorld. [From R. J. Mathar, Aug 07 2010]
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]
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EXAMPLE
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16.17696952812344426657...
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MATHEMATICA
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(* see the Mmca in Wolfram Library Archive *) [From Robert G. Wilson v, Jun 01 2009]
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CROSSREFS
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Cf. A002387, A024101, A082831, A082832, A082833, A082834, A082835, A082836, A082837, A082838, A082839.
Sequence in context: A200307 A198420 A110942 * A046902 A204205 A143019
Adjacent sequences: A082827 A082828 A082829 * A082831 A082832 A082833
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KEYWORD
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nonn,cons,base
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AUTHOR
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Robert G. Wilson v, Apr 14 2003
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EXTENSIONS
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More terms from Robert G. Wilson v, Jun 01 2009
URL typo corrected - R. J. Mathar, Aug 30 2010
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STATUS
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approved
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