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%I #23 Sep 06 2023 23:19:04
%S 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 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 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 Continued fraction for zeta(3).
%H Harry J. Smith, <a href="/A013631/b013631.txt">Table of n, a(n) for n = 1..20000</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/AperysConstant.html">Apery's Constant</a>.
%H G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">Contfrac</a>.
%H <a href="/index/Con#confC">Index entries for continued fractions for constants</a>.
%H <a href="/index/Z#zeta_function">Index entries for zeta function</a>.
%e zeta(3) = 1.2020569031595942... = 1 + 1/(4 + 1/(1 + 1/(18 + 1/(1 + ...)))). - _Harry J. Smith_, Apr 20 2009
%t ContinuedFraction[ Zeta[3], 100]
%o (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
%Y Cf. A002117.
%K nonn,cofr,nice
%O 1,2
%A _N. J. A. Sloane_, John Morrison (John.Morrison(AT)armltd.co.uk)
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