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A013631 Continued fraction for zeta(3). +0
7
1, 4, 1, 18, 1, 1, 1, 4, 1, 9, 9, 2, 1, 1, 1, 2, 7, 1, 1, 7, 11, 1, 1, 1, 3, 1, 6, 1, 30, 1, 4, 1, 1, 4, 1, 3, 1, 2, 7, 1, 3, 1, 2, 2, 1, 16, 1, 1, 3, 3, 1, 2, 2, 1, 6, 1, 1, 1, 6, 1, 1, 4, 428, 5, 1, 1, 3, 1, 1, 11, 2, 4, 4, 5, 4, 1, 5, 14, 1, 3, 1, 2, 19, 1, 2, 5, 1, 7, 1, 1, 1, 1, 1, 57, 3, 2, 14, 2 (list; graph; listen)
OFFSET

1,2

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, Link to a section of The World of Mathematics.

EXAMPLE

zeta(3) = 1.2020569031595942... = 1 + 1/(4 + 1/(1 + 1/(18 + 1/(1 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Apr 20 2009]

MATHEMATICA

ContinuedFraction[ Zeta[3], 100]

PROGRAM

(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(zeta(3)); for (n=1, 20000, write("b013631.txt", n, " ", x[n])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Apr 20 2009]

CROSSREFS

Cf. A002117.

Sequence in context: A126791 A052179 A126331 this_sequence A113355 A077102 A057968

Adjacent sequences: A013628 A013629 A013630 this_sequence A013632 A013633 A013634

KEYWORD

nonn,cofr,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), John Morrison (John.Morrison(AT)armltd.co.uk)

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Last modified December 19 12:50 EST 2009. Contains 171053 sequences.


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