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A013631 Continued fraction for zeta(3). 11
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

1,2

LINKS

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

Eric Weisstein's World of Mathematics, Apery's Constant

G. Xiao, Contfrac

Index entries for continued fractions for constants

Index entries for zeta function.

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, " ", x[n])); } \\ Harry J. Smith, Apr 20 2009

CROSSREFS

Cf. A002117.

Sequence in context: A052179 A171589 A126331 * A113355 A201201 A077102

Adjacent sequences:  A013628 A013629 A013630 * A013632 A013633 A013634

KEYWORD

nonn,cofr,nice

AUTHOR

N. J. A. Sloane, John Morrison (John.Morrison(AT)armltd.co.uk)

STATUS

approved

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Last modified January 18 16:40 EST 2019. Contains 319271 sequences. (Running on oeis4.)