%I #23 Dec 27 2023 00:13:41

%S 8,5,2,1,1,7,1,1,2,5,16,5,2,1,1,7,1,1,2,5,16,5,2,1,1,7,1,1,2,5,16,5,2,

%T 1,1,7,1,1,2,5,16,5,2,1,1,7,1,1,2,5,16,5,2,1,1,7,1,1,2,5,16,5,2,1,1,7,

%U 1,1,2,5,16,5,2,1,1,7,1,1

%N Continued fraction for sqrt(67).

%H Harry J. Smith, <a href="/A010147/b010147.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_10">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

%e 8.185352771872449969953703724... = 8 + 1/(5 + 1/(2 + 1/(1 + 1/(1 + ...)))). - _Harry J. Smith_, Jun 08 2009

%t ContinuedFraction[Sqrt[67],300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 08 2011 *)

%o (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(67)); for (n=0, 20000, write("b010147.txt", n, " ", x[n+1])); } \\ _Harry J. Smith_, Jun 08 2009

%Y Cf. A010519 Decimal expansion. - _Harry J. Smith_, Jun 08 2009

%K nonn,cofr

%O 0,1

%A _N. J. A. Sloane_