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A013631 Continued fraction for zeta(3). 9
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 November 29 03:09 EST 2014. Contains 250479 sequences.