A042586 - OEIS

%I #14 Mar 18 2017 17:32:49

%S 28,29,86,2437,4960,7397,419192,426589,1272370,36052949,73378268,

%T 109431217,6201526420,6310957637,18823441694,533367325069,

%U 1085558091832,1618925416901,91745381438288,93364306855189,278473995148666,7890636171017837,16059746337184340

%N Numerators of continued fraction convergents to sqrt(822).

%H Vincenzo Librandi, <a href="/A042586/b042586.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, 14794, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^11-28*x^10+29*x^9-86*x^8+2437*x^7-4960*x^6-7397*x^5-4960*x^4-2437*x^3-86*x^2-29*x-28) / (x^12-14794*x^6+1). - _Colin Barker_, Dec 18 2013

%t Numerator[Convergents[Sqrt[822], 30]] (* _Vincenzo Librandi_, Nov 29 2013 *)

%Y Cf. A042587, A040793.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 18 2013