A041438 - OEIS

%I #12 Jun 13 2015 00:49:24

%S 15,46,1395,4231,128325,389206,11804505,35802721,1085886135,

%T 3293461126,99889719915,302962620871,9188768346045,27869267659006,

%U 845266798116225,2563669662007681,77755356658346655,235829739637047646

%N Numerators of continued fraction convergents to sqrt(235).

%H Vincenzo Librandi, <a href="/A041438/b041438.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 (0,92,0,-1).

%F G.f.: (15 + 46*x + 15*x^2 - x^3) / (1 - 92*x^2 + x^4). - _Vincenzo Librandi_, Nov 02 2013

%t Numerator[Convergents[Sqrt[235], 30]] (* or *) CoefficientList[Series[(15 + 46 x + 15 x^2 - x^3)/(1 - 92 x^2 + x^4), {x, 0, 30}], x] (* _Vincenzo Librandi_, Nov 02 2013 *)

%t LinearRecurrence[{0, 92, 0, -1}, {15, 46, 1395, 4231}, 20] (* _Bruno Berselli_, Nov 02 2013 *)

%Y Cf. A041439.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.