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A033150 Niven's constant. 12
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

There are no 9's in the first 50 digits after the decimal point. Then, suddenly, it goes 909999. - Bobby Jacobs, Aug 13 2017

LINKS

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

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

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 *)

PROG

(PARI) 1+suminf(j=2, 1-1/zeta(j)) \\ Charles R Greathouse IV, Aug 13 2017

CROSSREFS

Cf. A033151, A033152, A033153, A033154.

Sequence in context: A021997 A099737 A271177 * A064648 A116198 A137915

Adjacent sequences:  A033147 A033148 A033149 * A033151 A033152 A033153

KEYWORD

nonn,cons,changed

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 August 17 05:45 EDT 2017. Contains 290635 sequences.