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A033152 Position of first occurrence of n in the continued fraction for Niven's constant. 3

%I #17 May 30 2019 11:58:35

%S 1,3,10,7,47,41,34,13,140,252,20,335,38,35,327,185,200,55

%N Position of first occurrence of n in the continued fraction for Niven's constant.

%C Next term > 500. - _Michel ten Voorde_ Jun 14 2003

%H I. Niven, <a href="https://doi.org/10.1090/S0002-9939-1969-0241373-5">Averages of Exponents in Factoring Integers</a>, Proc. Amer. Math. Soc. 22, 356-360, 1969.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/NivensConstant.html">Niven's Constant</a>.

%t rd[n_] := rd[n] = RealDigits[ N[1 + Sum[1 - 1/Zeta[j], {j, 2, 2^n}], 400]][[1]]; rd[n = 4]; While[rd[n] =!= rd[n-1], n++]; Niven = FromDigits[{rd[n], 1}]; A033151 = ContinuedFraction[Niven]; a[n_] := Position[A033151, n][[1, 1]]; Table[a[n], {n, 1, 18}] (* _Jean-François Alcover_, Oct 31 2012 *)

%Y Cf. A033150, A033151, A000009, A000010.

%K nonn,cofr,more

%O 1,2

%A _Eric W. Weisstein_

%E More terms from _Michel ten Voorde_, Jun 14 2003

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Last modified April 25 11:39 EDT 2024. Contains 371969 sequences. (Running on oeis4.)