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A010180 Continued fraction for sqrt(115). 2

%I #31 Dec 27 2023 00:22:32

%S 10,1,2,1,1,1,1,1,2,1,20,1,2,1,1,1,1,1,2,1,20,1,2,1,1,1,1,1,2,1,20,1,

%T 2,1,1,1,1,1,2,1,20,1,2,1,1,1,1,1,2,1,20,1,2,1,1,1,1,1,2,1,20,1,2,1,1,

%U 1,1,1,2,1,20,1,2,1,1,1,1,1

%N Continued fraction for sqrt(115).

%H Vincenzo Librandi, <a href="/A010180/b010180.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 + 2*x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + 2*x^8 + x^9 + 10*x^10)/(1 - x^10). [_Bruno Berselli_, Jun 13 2013]

%t ContinuedFraction[Sqrt[115],300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 11 2011 *)

%t PadRight[{10},120,{20,1,2,1,1,1,1,1,2,1}] (* _Harvey P. Dale_, Dec 02 2018 *)

%K nonn,cofr

%O 0,1

%A _N. J. A. Sloane_

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)