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Search: id:A016730
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| A016730 |
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Continued fraction for ln(2). |
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+0
6
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| 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; listen)
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OFFSET
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1,3
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COMMENT
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Continued fraction for 1/ln(2) is the same but without the initial zero.
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LINKS
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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
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EXAMPLE
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ln(2) = 0.6931471805599453094... = 0 + 1/(1 + 1/(2 + 1/(3 + 1/(1 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Apr 21 2009]
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PROGRAM
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(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]
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CROSSREFS
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Cf. A120754, A120755.
Cf. A002162 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 16 2009]
Sequence in context: A165742 A162984 A166295 this_sequence A114576 A116468 A110237
Adjacent sequences: A016727 A016728 A016729 this_sequence A016731 A016732 A016733
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KEYWORD
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nonn,cofr
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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