Search: id:A013631
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%I A013631
%S A013631 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,
%T A013631 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,
%U A013631 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
%N A013631 Continued fraction for zeta(3).
%H A013631 Harry J. Smith, <a href="b013631.txt">Table of n, a(n) for n=1,...,20000</
               a>
%H A013631 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">
               Contfrac</a>
%H A013631 <a href="Sindx_Con.html#confC">Index entries for continued fractions 
               for constants</a>
%H A013631 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               AperysConstant.html">Link to a section of The World of Mathematics.</
               a>
%e A013631 zeta(3) = 1.2020569031595942... = 1 + 1/(4 + 1/(1 + 1/(18 + 1/(1 + ...)))) 
               [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Apr 20 2009]
%t A013631 ContinuedFraction[ Zeta[3], 100]
%o A013631 (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]
%Y A013631 Cf. A002117.
%Y A013631 Sequence in context: A126791 A052179 A126331 this_sequence A113355 A077102 
               A057968
%Y A013631 Adjacent sequences: A013628 A013629 A013630 this_sequence A013632 A013633 
               A013634
%K A013631 nonn,cofr,nice
%O A013631 1,2
%A A013631 N. J. A. Sloane (njas(AT)research.att.com), John Morrison (John.Morrison(AT)armltd.co.uk)

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