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A010222 Continued fraction for sqrt(178). 1

%I

%S 13,2,1,12,1,2,26,2,1,12,1,2,26,2,1,12,1,2,26,2,1,12,1,2,26,2,1,12,1,

%T 2,26,2,1,12,1,2,26,2,1,12,1,2,26,2,1,12,1,2,26,2,1,12,1,2,26,2,1,12,

%U 1,2,26,2,1,12,1,2,26,2,1,12

%N Continued fraction for sqrt(178).

%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 a(n) = (1/90)*(-316*(n mod 6) + 29*((n+1) mod 6) + 209*((n+2) mod 6) - 121*((n+3) mod 6) + 59*((n+4) mod 6) + 404*((n+5) mod 6)) - 13*(C(2*n,n) mod 2), with n >= 0. - _Paolo P. Lava_, Jul 28 2009

%t ContinuedFraction[Sqrt[178],300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 26 2011 *)

%K nonn,cofr

%O 0,1

%A _N. J. A. Sloane_

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Last modified October 19 04:40 EDT 2019. Contains 328211 sequences. (Running on oeis4.)