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A033150 Niven's constant. 9
1, 7, 0, 5, 2, 1, 1, 1, 4, 0, 1, 0, 5, 3, 6, 7, 7, 6, 4, 2, 8, 8, 5, 5, 1, 4, 5, 3, 4, 3, 4, 5, 0, 8, 1, 6, 0, 7, 6, 2, 0, 2, 7, 6, 5, 1, 6, 5, 3, 4, 6, 9, 0, 9, 9, 9, 9, 4, 2, 8, 4, 9, 0, 6, 5, 4, 7, 3, 1, 3, 1, 9, 2, 1, 6, 8, 1, 2, 2, 4, 9, 1, 9, 3, 4, 2, 4, 4, 1, 3, 2, 1, 0, 0, 8, 7, 1, 0, 0, 1, 7, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

This constant is the average value of A051903. - Charles R Greathouse IV, Oct 30 2012

REFERENCES

I. Niven, Averages of Exponents in Factoring Integers, Proc. Amer. Math. Soc. 22, 356-360, 1969

LINKS

Table of n, a(n) for n=1..102.

Simon Plouffe, The Niven constant to 256 digits

Eric Weisstein's World of Mathematics, Niven's Constant

FORMULA

1 + Sum_{j>=2} 1-(1/Zeta(j)).

EXAMPLE

1.7052111401...

MATHEMATICA

rd[n_] := rd[n] = RealDigits[ N[1 + Sum[1 - 1/Zeta[j], {j, 2, 2^n}] , 105]][[1]]; rd[n = 4]; While[rd[n] =!= rd[n-1], n++]; rd[n] (* Jean-Fran├žois Alcover, Oct 25 2012 *)

CROSSREFS

Cf. A000007, A000008, A000009, A000010.

Sequence in context: A060708 A021997 A099737 * A064648 A116198 A137915

Adjacent sequences:  A033147 A033148 A033149 * A033151 A033152 A033153

KEYWORD

nonn,cons

AUTHOR

Eric W. Weisstein

EXTENSIONS

Offset corrected by Oleg Marichev (oleg(AT)wolfram.com), Jan 28 2008

STATUS

approved

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Last modified July 22 22:07 EDT 2014. Contains 244844 sequences.