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A013631 Continued fraction for zeta(3). 30
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; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
Eric Weisstein's World of Mathematics, Apery's Constant.
G. Xiao, Contfrac.
EXAMPLE
zeta(3) = 1.2020569031595942... = 1 + 1/(4 + 1/(1 + 1/(18 + 1/(1 + ...)))). - Harry J. Smith, Apr 20 2009
MATHEMATICA
ContinuedFraction[ Zeta[3], 100]
PROG
(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(zeta(3)); for (n=1, 20000, write("b013631.txt", n-1, " ", x[n])); } \\ Harry J. Smith, Apr 20 2009
CROSSREFS
Cf. A002117 (decimal expansion), A078984, A078985 (convergents).
Cf. continued fractions for zeta(2)-zeta(20): A013679, A013680-A013696.
Sequence in context: A052179 A171589 A126331 * A331651 A113355 A201201
KEYWORD
nonn,cofr,nice,changed
AUTHOR
N. J. A. Sloane, John Morrison (John.Morrison(AT)armltd.co.uk)
EXTENSIONS
Offset changed by Andrew Howroyd, Jul 10 2024
STATUS
approved

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Last modified July 10 17:26 EDT 2024. Contains 374211 sequences. (Running on oeis4.)