Search: id:A010153
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%I A010153
%S A010153 8,1,1,1,16,1,1,1,16,1,1,1,16,1,1,1,16,1,1,1,16,1,1,1,16,
%T A010153 1,1,1,16,1,1,1,16,1,1,1,16,1,1,1,16,1,1,1,16,1,1,1,16,
%U A010153 1,1,1,16,1,1,1,16,1,1,1,16,1,1,1,16,1,1,1,16,1,1,1,16
%N A010153 Continued fraction for sqrt(75) (or 5*sqrt(5)).
%H A010153 Harry J. Smith, <a href="b010153.txt">Table of n, a(n) for n=0,...,20000</
               a>
%H A010153 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">
               Contfrac</a>
%H A010153 <a href="Sindx_Con.html#confC">Index entries for continued fractions 
               for constants</a>
%F A010153 a(n)=(1/24)*{-71*(n mod 4)+19*[(n+1) mod 4]+19*[(n+2) mod 4]+109*[(n+3) 
               mod 4]}-8*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), 
               Jul 24 2009]
%e A010153 8.66025403784438646763723170... = 8 + 1/(1 + 1/(1 + 1/(1 + 1/(16 + ...)))) 
               [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 02 2009]
%o A010153 (PARI) { allocatemem(932245000); default(realprecision, 18000); x=contfrac(sqrt(75)); 
               for (n=0, 20000, write("b010153.txt", n, " ", x[n+1])); } [From Harry 
               J. Smith (hjsmithh(AT)sbcglobal.net), Jun 02 2009]
%Y A010153 Cf. A010527.
%Y A010153 Sequence in context: A010152 A011264 A066341 this_sequence A133421 A128881 
               A154015
%Y A010153 Adjacent sequences: A010150 A010151 A010152 this_sequence A010154 A010155 
               A010156
%K A010153 nonn,cofr
%O A010153 0,1
%A A010153 N. J. A. Sloane (njas(AT)research.att.com).

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