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%I #15 Sep 08 2022 08:44:55
%S 24,73,3528,10657,515064,1555849,75195816,227143297,10978074072,
%T 33161365513,1602723618696,4841332221601,233986670255544,
%U 706801342988233,34160451133690728,103188154744060417,4987191878848590744
%N Numerators of continued fraction convergents to sqrt(592).
%H Vincenzo Librandi, <a href="/A042134/b042134.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 (0,146,0,-1).
%F G.f.: (24 + 73*x + 24*x^2 - x^3)/(x^4 - 146*x^2 + 1). - _Vincenzo Librandi_, Nov 17 2013
%F a(n) = 146*a(n-2) - a(n-4). - _Vincenzo Librandi_, Nov 17 2013
%t Numerator[Convergents[Sqrt[592], 30]] (* or *) CoefficientList[Series[(24 + 73 x + 24 x^2 - x^3)/(x^4 - 146 x^2 + 1), {x, 0, 30}], x] (* _Vincenzo Librandi_, Nov 17 2013 *)
%o (Magma) I:=[24,73,3528,10657]; [n le 4 select I[n] else 146*Self(n-2)-Self(n-4): n in [1..25]]; // _Vincenzo Librandi_, Nov 17 2013
%Y Cf. A042135.
%K nonn,cofr,frac,easy,less
%O 0,1
%A _N. J. A. Sloane_.
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