%I #23 Dec 27 2023 00:19:06
%S 8,1,1,5,5,1,1,16,1,1,5,5,1,1,16,1,1,5,5,1,1,16,1,1,5,5,1,1,16,1,1,5,
%T 5,1,1,16,1,1,5,5,1,1,16,1,1,5,5,1,1,16,1,1,5,5,1,1,16,1,1,5,5,1,1,16,
%U 1,1,5,5,1,1,16,1,1,5,5,1,1
%N Continued fraction for sqrt(73).
%H Harry J. Smith, <a href="/A010151/b010151.txt">Table of n, a(n) for n = 0..20000</a>
%H G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">Contfrac</a>
%H <a href="/index/Con#confC">Index entries for continued fractions for constants</a>
%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 1).
%e 8.544003745317531167871648326... = 8 + 1/(1 + 1/(1 + 1/(5 + 1/(5 + ...)))). - _Harry J. Smith_, Jun 08 2009
%t ContinuedFraction[Sqrt[73],300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 08 2011 *)
%o (PARI) { allocatemem(932245000); default(realprecision, 20000); x=contfrac(sqrt(73)); for (n=0, 20000, write("b010151.txt", n, " ", x[n+1])); } \\ _Harry J. Smith_, Jun 08 2009
%Y Cf. A010525 Decimal expansion. - _Harry J. Smith_, Jun 08 2009
%K nonn,cofr
%O 0,1
%A _N. J. A. Sloane_
|