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A082836 Decimal expansion of the (finite) value of the sum_{ k >= 1, k has no digit equal to 7 in base 10 } 1/k. 9
2, 2, 4, 9, 3, 4, 7, 5, 3, 1, 1, 7, 0, 5, 9, 4, 5, 3, 9, 8, 1, 7, 6, 2, 2, 6, 9, 1, 5, 3, 3, 9, 7, 7, 5, 9, 7, 4, 0, 0, 5, 9, 1, 5, 5, 4, 1, 6, 7, 2, 5, 1, 2, 3, 6, 1, 7, 9, 1, 4, 6, 0, 4, 4, 4, 0, 7, 1, 0, 5, 1, 2, 0, 0, 9, 5, 0, 7, 4, 0, 8, 5, 1, 4, 3, 2, 2, 2, 0, 8, 2, 3, 4, 5, 0, 0, 2, 1, 9, 1, 9, 2, 2, 5, 4 (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. [Robert G. Wilson v, Jun 01 2009]

Wolfram Library Archive, KempnerSums.nb (8.6 KB) - Mathematica Notebook, Summing Kempner's Curious (Slowly-Convergent) Series [Robert G. Wilson v, Jun 01 2009]

EXAMPLE

22.49347531170594539817...

= 22.493475311705945398176226915339775974005915541672512361791460444... - 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, A082832, A082833, A082834, A082835, A082837, A082838, A082839.

Sequence in context: A109214 A000301 A124439 * A201376 A005141 A220369

Adjacent sequences:  A082833 A082834 A082835 * A082837 A082838 A082839

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 17 02:56 EDT 2019. Contains 325092 sequences. (Running on oeis4.)