A016730 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

COMMENTS

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

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

EXAMPLE

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

MATHEMATICA

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

PROG

(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

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

CROSSREFS

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

Sequence in context: A165742 A162984 A166295 * A319192 A114576 A198724

Adjacent sequences: A016727 A016728 A016729 * A016731 A016732 A016733

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane

EXTENSIONS

Offset changed by Andrew Howroyd, Jul 10 2024

STATUS

approved