%I A040020
%S A040020 5,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
%T A040020 10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
%U A040020 10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10
%N A040020 Continued fraction for sqrt(26).
%H A040020 Harry J. Smith, <a href="b040020.txt">Table of n, a(n) for n=0,...,20000</
               a>
%H A040020 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">
               Contfrac</a>
%H A040020 <a href="Sindx_Con.html#confC">Index entries for continued fractions 
               for constants</a>
%F A040020 a(n)=10-5*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), 
               Jun 09 2009]
%e A040020 5.09901951359278483002822... = 5 + 1/(10 + 1/(10 + 1/(10 + 1/(10 + ...)))) 
               [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 03 2009]
%p A040020 Digits := 100: convert(evalf(sqrt(N)),confrac,90,'cvgts'):
%o A040020 (PARI) { allocatemem(932245000); default(realprecision, 41000); x=contfrac(sqrt(26)); 
               for (n=0, 20000, write("b040020.txt", n, " ", x[n+1])); } [From Harry 
               J. Smith (hjsmithh(AT)sbcglobal.net), Jun 03 2009]
%Y A040020 Cf. A010481 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), 
               Jun 03 2009]
%Y A040020 Sequence in context: A062986 A065755 A135912 this_sequence A123337 A038671 
               A101866
%Y A040020 Adjacent sequences: A040017 A040018 A040019 this_sequence A040021 A040022 
               A040023
%K A040020 nonn,cofr,easy
%O A040020 0,1
%A A040020 N. J. A. Sloane (njas(AT)research.att.com).