A042548 - OEIS

%I #14 Mar 18 2017 17:27:58

%S 28,57,85,2352,2437,7226,407093,821412,1228505,33991047,35219552,

%T 104430151,5883308008,11871046167,17754354175,491238608892,

%U 508992963067,1509224535026,85025566924523,171560358384072,256585925308595,7099380341716137,7355966267024732

%N Numerators of continued fraction convergents to sqrt(803).

%H Vincenzo Librandi, <a href="/A042548/b042548.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 14452, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^11 -28*x^10 +57*x^9 -85*x^8 +2352*x^7 -2437*x^6 -7226*x^5 -2437*x^4 -2352*x^3 -85*x^2 -57*x -28) / (x^12 -14452*x^6 +1). - _Colin Barker_, Dec 18 2013

%t Numerator[Convergents[Sqrt[803], 30]] (* _Vincenzo Librandi_, Nov 28 2013 *)

%Y Cf. A042549, A040774.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 18 2013