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%I #14 Sep 08 2022 08:44:55
%S 29,30,1769,1799,106111,107910,6364891,6472801,381787349,388260150,
%T 22900876049,23289136199,1373670775591,1396959911790,82397345659411,
%U 83794305571201,4942467068789069,5026261374360270,296465626781684729,301491888156044999,17782995139832294671
%N Numerators of continued fraction convergents to sqrt(899).
%H Vincenzo Librandi, <a href="/A042738/b042738.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 (0,60,0,-1).
%F G.f.: (29 +30*x +29*x^2 -x^3)/(1 -60*x^2 +x^4). - _Vincenzo Librandi_, Dec 03 2013
%F a(n) = 60*a(n-2) - a(n-4), - _Vincenzo Librandi_, Dec 03 2013
%t Numerator[Convergents[Sqrt[899], 30]] (* _Harvey P. Dale_, Oct 16 2013 *)
%t CoefficientList[Series[(29 + 30 x + 29 x^2 - x^3)/(1 - 60 x^2 + x^4), {x, 0, 30}], x] (* _Vincenzo Librandi_, Dec 03 2013 *)
%o (Magma) I:=[29, 30, 1769, 1799]; [n le 4 select I[n] else 60*Self(n-2)-Self(n-4): n in [1..30]]; // _Vincenzo Librandi_, Dec 03 2013
%Y Cf. A042739.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_.
%E More terms from _Vincenzo Librandi_, Dec 03 2013
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