Search: id:A010150
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%I A010150
%S A010150 8,2,2,1,7,1,2,2,16,2,2,1,7,1,2,2,16,2,2,1,7,1,2,2,16,2,
%T A010150 2,1,7,1,2,2,16,2,2,1,7,1,2,2,16,2,2,1,7,1,2,2,16,2,2,1,
%U A010150 7,1,2,2,16,2,2,1,7,1,2,2,16,2,2,1,7,1,2,2,16,2,2,1,7,1
%N A010150 Continued fraction for sqrt(71).
%H A010150 Harry J. Smith, <a href="b010150.txt">Table of n, a(n) for n=0,...,20000</
               a>
%H A010150 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">
               Contfrac</a>
%H A010150 <a href="Sindx_Con.html#confC">Index entries for continued fractions 
               for constants</a>
%F A010150 a(n)=(1/224)*{-359*(n mod 8)+33*[(n+1) mod 8]+5*[(n+2) mod 8]+201*[(n+3) 
               mod 8]-135*[(n+4) mod 8]+61*[(n+5) mod 8]+33*[(n+6) mod 8]+425*[(n+7) 
               mod 8]}-8*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), 
               Jul 24 2009]
%e A010150 8.426149773176358630634139906... = 8 + 1/(2 + 1/(2 + 1/(1 + 1/(7 + ...)))) 
               [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 08 2009]
%o A010150 (PARI) { allocatemem(932245000); default(realprecision, 20000); x=contfrac(sqrt(71)); 
               for (n=0, 20000, write("b010150.txt", n, " ", x[n+1])); } [From Harry 
               J. Smith (hjsmithh(AT)sbcglobal.net), Jun 08 2009]
%Y A010150 Cf. A010523 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), 
               Jun 08 2009]
%Y A010150 Sequence in context: A147868 A073442 A130617 this_sequence A136711 A037920 
               A138997
%Y A010150 Adjacent sequences: A010147 A010148 A010149 this_sequence A010151 A010152 
               A010153
%K A010150 nonn,cofr
%O A010150 0,1
%A A010150 N. J. A. Sloane (njas(AT)research.att.com).

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