%I A010161
%S A010161 9,2,3,3,2,18,2,3,3,2,18,2,3,3,2,18,2,3,3,2,18,2,3,3,2,
%T A010161 18,2,3,3,2,18,2,3,3,2,18,2,3,3,2,18,2,3,3,2,18,2,3,3,2,
%U A010161 18,2,3,3,2,18,2,3,3,2,18,2,3,3,2,18,2,3,3,2,18,2,3,3,2
%N A010161 Continued fraction for sqrt(89).
%H A010161 Harry J. Smith, <a href="b010161.txt">Table of n, a(n) for n=0,...,20000</
               a>
%H A010161 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">
               Contfrac</a>
%H A010161 <a href="Sindx_Con.html#confC">Index entries for continued fractions 
               for constants</a>
%F A010161 a(n)=(1/25)*{-66*(n mod 5)+19*[(n+1) mod 5]+14*[(n+2) mod 5]+9*[(n+3) 
               mod 5]+94*[(n+4) mod 5]}-9*[C(2*n,n) mod 2], with n>=0 [From Paolo 
               P. Lava (ppl(AT)spl.at), Jul 24 2009]
%e A010161 9.433981132056603811320660377... = 9 + 1/(2 + 1/(3 + 1/(3 + 1/(2 + ...)))) 
               [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 10 2009]
%o A010161 (PARI) { allocatemem(932245000); default(realprecision, 25000); x=contfrac(sqrt(89)); 
               for (n=0, 20000, write("b010161.txt", n, " ", x[n+1])); } [From Harry 
               J. Smith (hjsmithh(AT)sbcglobal.net), Jun 10 2009]
%Y A010161 Cf. A010540 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), 
               Jun 10 2009]
%Y A010161 Sequence in context: A110543 A021056 A132719 this_sequence A104539 A160108 
               A011344
%Y A010161 Adjacent sequences: A010158 A010159 A010160 this_sequence A010162 A010163 
               A010164
%K A010161 nonn,cofr
%O A010161 0,1
%A A010161 N. J. A. Sloane (njas(AT)research.att.com).