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Continued fraction for sqrt(93).
3

%I #24 Dec 27 2023 00:17:45

%S 9,1,1,1,4,6,4,1,1,1,18,1,1,1,4,6,4,1,1,1,18,1,1,1,4,6,4,1,1,1,18,1,1,

%T 1,4,6,4,1,1,1,18,1,1,1,4,6,4,1,1,1,18,1,1,1,4,6,4,1,1,1,18,1,1,1,4,6,

%U 4,1,1,1,18,1,1,1,4,6,4,1

%N Continued fraction for sqrt(93).

%H Harry J. Smith, <a href="/A010164/b010164.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 9.643650760992954995760031047... = 9 + 1/(1 + 1/(1 + 1/(1 + 1/(4 + ...)))). - _Harry J. Smith_, Jun 11 2009

%t ContinuedFraction[Sqrt[93],300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 10 2011 *)

%t PadRight[{9},120,{18,1,1,1,4,6,4,1,1,1}] (* _Harvey P. Dale_, Mar 30 2019 *)

%o (PARI) { allocatemem(932245000); default(realprecision, 18000); x=contfrac(sqrt(93)); for (n=0, 20000, write("b010164.txt", n, " ", x[n+1])); } \\ _Harry J. Smith_, Jun 11 2009

%Y Cf. A010544 Decimal expansion. - _Harry J. Smith_, Jun 11 2009

%K nonn,cofr

%O 0,1

%A _N. J. A. Sloane_