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A033150 Niven's constant. 11
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 December 22 07:03 EST 2014. Contains 252328 sequences.