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%I #15 Mar 18 2017 15:30:37
%S 23,24,47,71,118,5499,5617,11116,16733,27849,1297787,1325636,2623423,
%T 3949059,6572482,306283231,312855713,619138944,931994657,1551133601,
%U 72284140303,73835273904,146119414207,219954688111,366074102318,17059363394739,17425437497057
%N Numerators of continued fraction convergents to sqrt(557).
%H Vincenzo Librandi, <a href="/A042066/b042066.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 236, 0, 0, 0, 0, 1).
%F G.f.: (23 +24*x +47*x^2 +71*x^3 +118*x^4 +71*x^5 -47*x^6 +24*x^7 -23*x^8 +x^9)/(1 -236*x^5 -x^10). [_Bruno Berselli_, Nov 15 2013]
%t Numerator[Convergents[Sqrt[557], 30]] (* _Vincenzo Librandi_, Nov 14 2013 *)
%t CoefficientList[Series[(23 + 24 x + 47 x^2 + 71 x^3 + 118 x^4 + 71 x^5 - 47 x^6 + 24 x^7 - 23 x^8 + x^9)/(1 - 236 x^5 - x^10), {x, 0, 30}], x] (* _Bruno Berselli_, Nov 15 2013 *)
%Y Cf. A042067.
%K nonn,cofr,frac,easy,less
%O 0,1
%A _N. J. A. Sloane_.
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