

A082838


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


11



2, 2, 9, 2, 0, 6, 7, 6, 6, 1, 9, 2, 6, 4, 1, 5, 0, 3, 4, 8, 1, 6, 3, 6, 5, 7, 0, 9, 4, 3, 7, 5, 9, 3, 1, 9, 1, 4, 9, 4, 4, 7, 6, 2, 4, 3, 6, 9, 9, 8, 4, 8, 1, 5, 6, 8, 5, 4, 1, 9, 9, 8, 3, 5, 6, 5, 7, 2, 1, 5, 6, 3, 3, 8, 1, 8, 9, 9, 1, 1, 1, 2, 9, 4, 4, 5, 6, 2, 6, 0, 3, 7, 4, 4, 8, 2, 0, 1, 8, 9, 8, 9, 9, 0, 9
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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), 372374.
R. Baillie, Summing The Curious Series Of Kempner And Irwin, arXiv:0806.4410 [math.CA]
Wolfram Library Archive, KempnerSums.nb (8.6 KB)  Mathematica Notebook, Summing Kempner's Curious (SlowlyConvergent) Series
Wikipedia, Kempner series


EXAMPLE

22.920676619264150348163657094375931914944762436998481568541998356... [From Robert G. Wilson v, Jun 01 2009]


MATHEMATICA

(* see the Mmca in Wolfram Library Archive link *)


CROSSREFS

Cf. A002387, A024101, A082830A082839, A140502.
Sequence in context: A048650 A125313 A199058 * A074961 A037289 A037290
Adjacent sequences: A082835 A082836 A082837 * A082839 A082840 A082841


KEYWORD

nonn,cons,base


AUTHOR

Robert G. Wilson v, Apr 14 2003


EXTENSIONS

More terms from Robert G. Wilson v, Apr 14 2009
More terms from Robert G. Wilson v, Jun 01 2009


STATUS

approved



