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%I #15 Feb 11 2019 12:58:39
%S 0,4,1,4,3,1,1,1,1,1,1,1,1,7,1,20,1,3,6,10,3,2,1,1,7,2,2,1,1,1,2,7,1,
%T 23,28,2,1,2,3,138,1,4,2,3,1,1,50,1,2,1,1,6,1,24,1,2,2,1,1,1,1,1,4,6,
%U 11,1,16,3,3,1,1,1,2,8,3,47,2,1,2,2,1,38,1,5,1,147
%N Continued fraction for i^i = exp(-Pi/2).
%H Harry J. Smith, <a href="/A049007/b049007.txt">Table of n, a(n) for n = 1..20000</a>
%H G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">Contfrac</a>
%H H. S. Uhler, <a href="https://www.jstor.org/stable/2972387">On the numerical value of i^i</a>, Amer. Math. Monthly, 28 (1921), 114-116.
%H <a href="/index/Con#confC">Index entries for continued fractions for constants</a>
%e 0.20787957635076190854695561983497877003387...
%e i^i = 0.207879576350761908546... = 0 + 1/(4 + 1/(1 + 1/(4 + 1/(3 + ...)))). - _Harry J. Smith_, Apr 28 2009
%t ContinuedFraction[ E^(-Pi/2), 100]
%o (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(exp(-Pi/2)); for (n=1, 20000, write("b049007.txt", n, " ", x[n])); } \\ _Harry J. Smith_, Apr 28 2009
%Y Cf. A049006.
%K nonn,cofr
%O 1,2
%A _N. J. A. Sloane_
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