Search: id:A040042
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%I A040042
%S A040042 7,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,
%T A040042 14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,
%U A040042 14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14
%N A040042 Continued fraction for sqrt(50) = 5*sqrt(2).
%H A040042 Harry J. Smith, <a href="b040042.txt">Table of n, a(n) for n=0,...,20000</
               a>
%H A040042 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">
               Contfrac</a>
%H A040042 <a href="Sindx_Con.html#confC">Index entries for continued fractions 
               for constants</a>
%F A040042 a(n)=14-7*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), 
               Jun 09 2009]
%e A040042 7.07106781186547524400844... = 7 + 1/(14 + 1/(14 + 1/(14 + 1/(14 + ...)))) 
               [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 01 2009]
%p A040042 Digits := 100: convert(evalf(sqrt(N)),confrac,90,'cvgts'):
%o A040042 (PARI) { allocatemem(932245000); default(realprecision, 47000); x=contfrac(sqrt(50)); 
               for (n=0, 20000, write("b040042.txt", n, " ", x[n+1])); } [From Harry 
               J. Smith (hjsmithh(AT)sbcglobal.net), Jun 01 2009]
%Y A040042 Cf. A010503.
%Y A040042 Sequence in context: A102654 A048727 A064666 this_sequence A107976 A022557 
               A085335
%Y A040042 Adjacent sequences: A040039 A040040 A040041 this_sequence A040043 A040044 
               A040045
%K A040042 nonn,cofr,easy
%O A040042 0,1
%A A040042 N. J. A. Sloane (njas(AT)research.att.com).

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