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A033150
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Niven's constant.
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6
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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
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OFFSET
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1,2
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COMMENTS
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This constant is the average value of A051903. - Charles R Greathouse IV, Oct 30 2012
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REFERENCES
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I. Niven, Averages of Exponents in Factoring Integers, Proc. Amer. Math. Soc. 22, 356-360, 1969
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LINKS
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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
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FORMULA
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1 + Sum_{j>=2} 1-(1/Zeta(j)).
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EXAMPLE
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1.7052111401...
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MATHEMATICA
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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-François Alcover, Oct 25 2012 *)
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CROSSREFS
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Cf. A000007, A000008, A000009, A000010.
Sequence in context: A060708 A021997 A099737 * A064648 A116198 A137915
Adjacent sequences: A033147 A033148 A033149 * A033151 A033152 A033153
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KEYWORD
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nonn,cons
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AUTHOR
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Eric W. Weisstein
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EXTENSIONS
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Offset corrected by Oleg Marichev (oleg(AT)wolfram.com), Jan 28 2008
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STATUS
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approved
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