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Continued fraction for sqrt(116).
2

%I #32 Dec 27 2023 00:41:03

%S 10,1,3,2,1,4,1,2,3,1,20,1,3,2,1,4,1,2,3,1,20,1,3,2,1,4,1,2,3,1,20,1,

%T 3,2,1,4,1,2,3,1,20,1,3,2,1,4,1,2,3,1,20,1,3,2,1,4,1,2,3,1,20,1,3,2,1,

%U 4,1,2,3,1,20,1,3,2,1,4,1,2

%N Continued fraction for sqrt(116).

%H Vincenzo Librandi, <a href="/A010181/b010181.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_10">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,1).

%F G.f.: (10 + x + 3*x^2 + 2*x^3 + x^4 + 4*x^5 + x^6 + 2*x^7 + 3*x^8 + x^9 + 10*x^10)/(1-x^10). [_Bruno Berselli_, Jun 13 2013]

%t ContinuedFraction[Sqrt[116],300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 11 2011 *)

%t PadRight[{10},100,{20,1,3,2,1,4,1,2,3,1}] (* _Harvey P. Dale_, Jul 27 2015 *)

%K nonn,cofr,easy

%O 0,1

%A _N. J. A. Sloane_