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%I #17 May 04 2024 13:28:23
%S 15,91,2745,16561,499575,3014011,90919905,548533441,16546923135,
%T 99830072251,3011449090665,18168524616241,548067187577895,
%U 3306571650083611,99745216690086225,601777871790600961
%N Numerators of continued fraction convergents to sqrt(230).
%H Vincenzo Librandi, <a href="/A041428/b041428.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,182,0,-1).
%F G.f.: -(x^3 -15*x^2 -91*x -15)/(x^4 -182*x^2 +1). - _Vincenzo Librandi_, Nov 02 2013
%F a(n) = 182*a(n-2) - a(n-4). - _Wesley Ivan Hurt_, May 04 2024
%t Numerator[Convergents[Sqrt[230], 20]] (* _Harvey P. Dale_, Jun 12 2012 *)
%t CoefficientList[Series[-(x^3 - 15 x^2 - 91 x - 15)/(x^4 -182 x^2 + 1), {x, 0, 30}], x] (* _Vincenzo Librandi_, Nov 02 2013 *)
%Y Cf. A041429.
%K nonn,cofr,frac,easy,changed
%O 0,1
%A _N. J. A. Sloane_.
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