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%I #21 Jan 29 2018 02:54:14
%S 1,12,6,1,3,1,4,183,1,1,2,1,3,1,1,5,4,2,7,23,1,1,1,1,3,2,4,2,2,22,1,
%T 13,5,1,4,2,1,3,1,1,1,6,11,40,1,7,5,2,4,1,2,3,14,9,1,33,78,1,12,4,1,2,
%U 551,1,1,1,1,1,1,2,1,9,2,7
%N Continued fraction for zeta(4).
%H T. D. Noe, <a href="/A013680/b013680.txt">Table of n, a(n) for n = 1..10000</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>
%e zeta(4) = 1 + 1/(12 + 1/(6 + 1/(1 + 1/(3 + ...)))). - _Harry J. Smith_, Apr 29 2009
%t ContinuedFraction[Zeta[4],80] (* _Harvey P. Dale_, Oct 13 2013 *)
%o (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(Pi^4/90); for (n=1, 20000, write("b013680.txt", n, " ", x[n])); } \\ _Harry J. Smith_, Apr 29 2009
%Y Cf. A013662 (zeta(4)). - _Harry J. Smith_, Apr 29 2009
%K nonn,cofr
%O 1,2
%A _N. J. A. Sloane_
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