%I #21 Aug 04 2024 03:06:11
%S 11,2,2,22,2,2,22,2,2,22,2,2,22,2,2,22,2,2,22,2,2,22,2,2,22,2,2,22,2,
%T 2,22,2,2,22,2,2,22,2,2,22,2,2,22,2,2,22,2,2,22,2,2,22,2,2,22,2,2,22,
%U 2,2,22,2,2,22,2,2,22,2,2,22
%N Continued fraction for sqrt(130).
%H <a href="/index/Con#confC">Index entries for continued fractions for constants</a>
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,1).
%F From _Elmo R. Oliveira_, Aug 03 2024: (Start)
%F G.f.: (11 + 2*x + 2*x^2 + 11*x^3)/(1 - x^3).
%F a(n) = a(n-3), n > 3. (End)
%p Digits := 100: convert(evalf(sqrt(N)),confrac,90,'cvgts'):
%t ContinuedFraction[Sqrt[130],300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 12 2011*)
%Y Cf. A041236/A041237 (convergents).
%K nonn,cofr,easy
%O 0,1
%A _N. J. A. Sloane_.