%I #13 Jun 13 2015 00:49:38
%S 22,89,111,1199,3708,12323,126938,139261,683982,30234469,121621858,
%T 151856327,1640185128,5072411711,16857420261,173646614321,
%U 190504034582,935662752649,41359665151138,166374323357201,207733988508339,2243714208440591,6938876613830112
%N Numerators of continued fraction convergents to sqrt(493).
%H Vincenzo Librandi, <a href="/A041940/b041940.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,1367964,0,0,0,0,0,0,0,0,1).
%F G.f.: -(x^17 -22*x^16 +89*x^15 -111*x^14 +1199*x^13 -3708*x^12 +12323*x^11 -126938*x^10 +139261*x^9 +683982*x^8 +139261*x^7 +126938*x^6 +12323*x^5 +3708*x^4 +1199*x^3 +111*x^2 +89*x +22) / ((x^6 +111*x^3 -1)*(x^12 -111*x^9 +12322*x^6 +111*x^3 +1)). - _Colin Barker_, Nov 27 2013
%t Numerator[Convergents[Sqrt[493], 30]] (* _Vincenzo Librandi_, Nov 12 2013 *)
%Y Cf. A041941, A040470.
%K nonn,cofr,frac,easy,less
%O 0,1
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 27 2013