Search: id:A040074
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%I A040074
%S A040074 9,6,18,6,18,6,18,6,18,6,18,6,18,6,18,6,18,6,18,6,18,6,
%T A040074 18,6,18,6,18,6,18,6,18,6,18,6,18,6,18,6,18,6,18,6,18,6,
%U A040074 18,6,18,6,18,6,18,6,18,6,18,6,18,6,18,6,18,6,18,6,18,6
%N A040074 Continued fraction for sqrt(84).
%H A040074 Harry J. Smith, <a href="b040074.txt">Table of n, a(n) for n=0,...,20000</
               a>
%H A040074 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">
               Contfrac</a>
%H A040074 <a href="Sindx_Con.html#confC">Index entries for continued fractions 
               for constants</a>
%F A040074 a(n)=12+6*(-1)^n-9*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), 
               Jun 10 2009]
%e A040074 9.1651513899116800131760943... = 9 + 1/(6 + 1/(18 + 1/(6 + 1/(18 + ...)))) 
               [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 10 2009]
%p A040074 Digits := 100: convert(evalf(sqrt(N)),confrac,90,'cvgts'):
%o A040074 (PARI) { allocatemem(932245000); default(realprecision, 42000); x=contfrac(sqrt(84)); 
               for (n=0, 20000, write("b040074.txt", n, " ", x[n+1])); } [From Harry 
               J. Smith (hjsmithh(AT)sbcglobal.net), Jun 10 2009]
%Y A040074 Cf. A010535 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), 
               Jun 10 2009]
%Y A040074 Sequence in context: A063602 A166520 A102648 this_sequence A088999 A073782 
               A156033
%Y A040074 Adjacent sequences: A040071 A040072 A040073 this_sequence A040075 A040076 
               A040077
%K A040074 nonn,cofr,easy
%O A040074 0,1
%A A040074 N. J. A. Sloane (njas(AT)research.att.com).

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