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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 + ...)))) [From 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])); } [From 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 May 5 21:55 EDT 2016. Contains 272474 sequences.