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A013631
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Continued fraction for zeta(3).
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7
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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; internal format)
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OFFSET
| 1,2
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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.
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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]
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MATHEMATICA
| ContinuedFraction[ Zeta[3], 100]
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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 (hjsmithh(AT)sbcglobal.net), Apr 20 2009]
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CROSSREFS
| Cf. A002117.
Sequence in context: A052179 A171589 A126331 * A113355 A201201 A077102
Adjacent sequences: A013628 A013629 A013630 * A013632 A013633 A013634
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KEYWORD
| nonn,cofr,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), John Morrison (John.Morrison(AT)armltd.co.uk)
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