A010163 - OEIS

%I #22 Dec 27 2023 00:18:16

%S 9,1,1,2,4,2,1,1,18,1,1,2,4,2,1,1,18,1,1,2,4,2,1,1,18,1,1,2,4,2,1,1,

%T 18,1,1,2,4,2,1,1,18,1,1,2,4,2,1,1,18,1,1,2,4,2,1,1,18,1,1,2,4,2,1,1,

%U 18,1,1,2,4,2,1,1,18,1,1,2,4,2

%N Continued fraction for sqrt(92).

%H Harry J. Smith, <a href="/A010163/b010163.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_08">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 1).

%e 9.591663046625439083194876128... = 9 + 1/(1 + 1/(1 + 1/(2 + 1/(4 + ...)))) \\ _Harry J. Smith_, Jun 11 2009

%t ContinuedFraction[Sqrt[92],300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 10 2011 *)

%o (PARI) { allocatemem(932245000); default(realprecision, 17000); x=contfrac(sqrt(92)); for (n=0, 20000, write("b010163.txt", n, " ", x[n+1])); } \\ _Harry J. Smith_, Jun 11 2009

%Y Cf. A010543 Decimal expansion. - _Harry J. Smith_, Jun 11 2009

%K nonn,cofr

%O 0,1

%A _N. J. A. Sloane_