Search: id:A010147
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%I A010147
%S A010147 8,5,2,1,1,7,1,1,2,5,16,5,2,1,1,7,1,1,2,5,16,5,2,1,1,7,
%T A010147 1,1,2,5,16,5,2,1,1,7,1,1,2,5,16,5,2,1,1,7,1,1,2,5,16,5,
%U A010147 2,1,1,7,1,1,2,5,16,5,2,1,1,7,1,1,2,5,16,5,2,1,1,7,1,1
%N A010147 Continued fraction for sqrt(67).
%H A010147 Harry J. Smith, <a href="b010147.txt">Table of n, a(n) for n=0,...,20000</
               a>
%H A010147 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">
               Contfrac</a>
%H A010147 <a href="Sindx_Con.html#confC">Index entries for continued fractions 
               for constants</a>
%F A010147 a(n)=(1/450)*{-454*(n mod 10)-94*[(n+1) mod 10]-4*[(n+2) mod 10]+41*[(n+3) 
               mod 10]+311*[(n+4) mod 10]-229*[(n+5) mod 10]+41*[(n+6) mod 10]+86*[(n+7) 
               mod 10]+176*[(n+8) mod 10]+536*[(n+9) mod 10]}-8*[C(2*n,n) mod 2], 
               with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jul 24 2009]
%e A010147 8.185352771872449969953703724... = 8 + 1/(5 + 1/(2 + 1/(1 + 1/(1 + ...)))) 
               [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 08 2009]
%o A010147 (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(67)); 
               for (n=0, 20000, write("b010147.txt", n, " ", x[n+1])); } [From Harry 
               J. Smith (hjsmithh(AT)sbcglobal.net), Jun 08 2009]
%Y A010147 Cf. A010519 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), 
               Jun 08 2009]
%Y A010147 Sequence in context: A021058 A036792 A154735 this_sequence A117035 A140133 
               A116397
%Y A010147 Adjacent sequences: A010144 A010145 A010146 this_sequence A010148 A010149 
               A010150
%K A010147 nonn,cofr
%O A010147 0,1
%A A010147 N. J. A. Sloane (njas(AT)research.att.com).

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