A033151 Continued fraction for Niven's constant.

1, 1, 2, 2, 1, 1, 4, 1, 1, 3, 4, 4, 8, 4, 1, 1, 2, 1, 1, 11, 1, 4, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 7, 14, 2, 1, 13, 2, 1, 6, 2, 3, 1, 1, 1, 5, 2, 2, 8, 29, 1, 6, 1, 18, 1, 3, 2, 1, 5, 1, 1, 1, 18, 1, 3, 1, 372, 3, 3, 1, 47, 2, 1, 6, 1, 5, 1, 4, 1, 2, 4, 2, 2, 1, 1, 2, 7, 1, 7, 1, 14, 6, 5, 1, 559, 1

Offset

0,3

Links

Table of n, a(n) for n=0..96.

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

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

G. Xiao, Contfrac

Index entries for continued fractions for constants

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++]; Niven = FromDigits[{rd[n], 1}]; ContinuedFraction[Niven, 100] (* Jean-François Alcover, Oct 30 2012 *)

Crossrefs

Cf. A033150 (decimal expansion).

Sequence in context: A078692 A273432 A284343 * A046079 A319700 A279104

Adjacent sequences: A033148 A033149 A033150 * A033152 A033153 A033154

Keyword

nonn,cofr

Author

Eric W. Weisstein

Extensions

Offset changed by Andrew Howroyd, Jul 04 2024

Status

approved