A016730 Continued fraction for log(2).

0, 1, 2, 3, 1, 6, 3, 1, 1, 2, 1, 1, 1, 1, 3, 10, 1, 1, 1, 2, 1, 1, 1, 1, 3, 2, 3, 1, 13, 7, 4, 1, 1, 1, 7, 2, 4, 1, 1, 2, 5, 14, 1, 10, 1, 4, 2, 18, 3, 1, 4, 1, 6, 2, 7, 3, 3, 1, 13, 3, 1, 4, 4, 1, 3, 1, 1, 1, 1, 2, 17, 3, 1, 2, 32, 1, 1, 1

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cofr

Comments

Continued fraction for 1/log(2) is the same but without the initial zero.

Examples

			log(2) = 0.6931471805599453094... = 0 + 1/(1 + 1/(2 + 1/(3 + 1/(1 + ...)))). - _Harry J. Smith_, Apr 21 2009
		

Links

• Harry J. Smith, Table of n, a(n) for n = 0..19999
• G. Xiao, Contfrac
• Eric Weisstein's World of Mathematics, Natural Logarithm of 2
• Index entries for continued fractions for constants

Crossrefs

Cf. A120754, A120755, A002162 (decimal expansion).

Programs

Magma

ContinuedFraction(Log(2)); // G. C. Greubel, Sep 15 2018

Mathematica

ContinuedFraction[Log[2], 80] (* Alonso del Arte, Oct 03 2017 *)

PARI

{ allocatemem(932245000); default(realprecision, 21000); x=contfrac(log(2)); for (n=1, 20000, write("b016730.txt", n-1, " ", x[n])); } \\ Harry J. Smith, Apr 21 2009

Extensions

Offset changed by Andrew Howroyd, Jul 10 2024