Search: id:A040024
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%I A040024
%S A040024 5,2,10,2,10,2,10,2,10,2,10,2,10,2,10,2,10,2,10,2,10,2,
%T A040024 10,2,10,2,10,2,10,2,10,2,10,2,10,2,10,2,10,2,10,2,10,2,
%U A040024 10,2,10,2,10,2,10,2,10,2,10,2,10,2,10,2,10,2,10,2,10,2
%N A040024 Continued fraction for sqrt(30).
%H A040024 Harry J. Smith, <a href="b040024.txt">Table of n, a(n) for n=0,...,20000</
               a>
%H A040024 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">
               Contfrac</a>
%H A040024 <a href="Sindx_Con.html#confC">Index entries for continued fractions 
               for constants</a>
%F A040024 a(n)=6+4*(-1)^n-5*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), 
               Jun 09 2009]
%e A040024 5.4772255750516611345696978... = 5 + 1/(2 + 1/(10 + 1/(2 + 1/(10 + ...)))) 
               [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 04 2009]
%p A040024 Digits := 100: convert(evalf(sqrt(N)),confrac,90,'cvgts'):
%o A040024 (PARI) { allocatemem(932245000); default(realprecision, 28000); x=contfrac(sqrt(30)); 
               for (n=0, 20000, write("b040024.txt", n, " ", x[n+1])); } [From Harry 
               J. Smith (hjsmithh(AT)sbcglobal.net), Jun 04 2009]
%Y A040024 Cf. A010485 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), 
               Jun 04 2009]
%Y A040024 Sequence in context: A080379 A127098 A127097 this_sequence A036121 A162396 
               A055682
%Y A040024 Adjacent sequences: A040021 A040022 A040023 this_sequence A040025 A040026 
               A040027
%K A040024 nonn,cofr,easy
%O A040024 0,1
%A A040024 N. J. A. Sloane (njas(AT)research.att.com).

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