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A016730 Continued fraction for ln(2). 6
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; internal format)
OFFSET

1,3

COMMENTS

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

LINKS

Harry J. Smith, Table of n, a(n) for n=1,...,20000

G. Xiao, Contfrac

Index entries for continued fractions for constants

Eric Weisstein's World of Mathematics, Natural Logarithm of 2

EXAMPLE

ln(2) = 0.6931471805599453094... = 0 + 1/(1 + 1/(2 + 1/(3 + 1/(1 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Apr 21 2009]

PROG

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

CROSSREFS

Cf. A120754, A120755.

Cf. A002162 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 16 2009]

Sequence in context: A165742 A162984 A166295 * A114576 A198724 A205112

Adjacent sequences:  A016727 A016728 A016729 * A016731 A016732 A016733

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 14 18:47 EST 2012. Contains 205663 sequences.