Search: id:A010143
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%I A010143
%S A010143 7,1,1,1,1,1,1,14,1,1,1,1,1,1,14,1,1,1,1,1,1,14,1,1,1,1,
%T A010143 1,1,14,1,1,1,1,1,1,14,1,1,1,1,1,1,14,1,1,1,1,1,1,14,1,
%U A010143 1,1,1,1,1,14,1,1,1,1,1,1,14,1,1,1,1,1,1,14,1,1,1,1,1,1
%N A010143 Continued fraction for sqrt(58).
%H A010143 Harry J. Smith, <a href="b010143.txt">Table of n, a(n) for n=0,...,20000</
               a>
%H A010143 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">
               Contfrac</a>
%H A010143 <a href="Sindx_Con.html#confC">Index entries for continued fractions 
               for constants</a>
%F A010143 a(n)=(1/147)*{-253*(n mod 7)+20*[(n+1) mod 7]+20*[(n+2) mod 7]+20*[(n+3) 
               mod 7]+20*[(n+4) mod 7]+20*[(n+5) mod 7]+293*[(n+6) mod 7]}-7*[C(2*n,
               n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jul 24 
               2009]
%e A010143 7.615773105863908285661411027... = 7 + 1/(1 + 1/(1 + 1/(1 + 1/(1 + ...)))) 
               [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 07 2009]
%o A010143 (PARI) { allocatemem(932245000); default(realprecision, 14000); x=contfrac(sqrt(58)); 
               for (n=0, 20000, write("b010143.txt", n, " ", x[n+1])); } [From Harry 
               J. Smith (hjsmithh(AT)sbcglobal.net), Jun 07 2009]
%Y A010143 Cf. A010511 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), 
               Jun 07 2009]
%Y A010143 Sequence in context: A081229 A109010 A117825 this_sequence A101027 A129408 
               A140213
%Y A010143 Adjacent sequences: A010140 A010141 A010142 this_sequence A010144 A010145 
               A010146
%K A010143 nonn,cofr
%O A010143 0,1
%A A010143 N. J. A. Sloane (njas(AT)research.att.com).

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