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Continued fraction for sqrt(111).
1

%I #34 Dec 23 2023 14:23:49

%S 10,1,1,6,1,1,20,1,1,6,1,1,20,1,1,6,1,1,20,1,1,6,1,1,20,1,1,6,1,1,20,

%T 1,1,6,1,1,20,1,1,6,1,1,20,1,1,6,1,1,20,1,1,6,1,1,20,1,1,6,1,1,20,1,1,

%U 6,1,1,20,1,1,6,1,1,20,1,1

%N Continued fraction for sqrt(111).

%H Vincenzo Librandi, <a href="/A010176/b010176.txt">Table of n, a(n) for n = 0..1000</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_06">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,1).

%F G.f.: (10+x+x^2+6*x^3+x^4+x^5+10*x^6)/(1-x^6). [_Bruno Berselli_, Jun 12 2013]

%t ContinuedFraction[Sqrt[111], 300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 11 2011 *)

%K nonn,cofr,easy

%O 0,1

%A _N. J. A. Sloane_