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A041428 Numerators of continued fraction convergents to sqrt(230). 2

%I

%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

%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

%O 0,1

%A _N. J. A. Sloane_.

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Last modified February 6 04:21 EST 2023. Contains 360097 sequences. (Running on oeis4.)