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A082832 Decimal expansion of the (finite) value of the sum_{ k >= 1, k has no digit equal to 3 in base 10 } 1/k. 9
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; 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.

Robert Baillie, Summing The Curious Series Of Kempner And Irwin arXiv:0806.4410 [math.CA], 2008-2015. [From Robert G. Wilson v, 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, Jun 01 2009]

EXAMPLE

20.56987795096123037107...

= 20.569877950961230371075217419053111414153869674730783489508528500... - Robert G. Wilson v, Jun 01 2009

MATHEMATICA

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

CROSSREFS

Cf. A002387, A024101, A082830, A082831, A082833, A082834, A082835, A082836, A082837, A082838, A082839.

Sequence in context: A262420 A240662 A188724 * A320372 A097709 A197877

Adjacent sequences:  A082829 A082830 A082831 * A082833 A082834 A082835

KEYWORD

nonn,cons,base

AUTHOR

Robert G. Wilson v, Apr 14 2003

EXTENSIONS

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

STATUS

approved

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Last modified July 20 16:24 EDT 2019. Contains 325185 sequences. (Running on oeis4.)