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%I #27 Jun 13 2015 00:49:21
%S 4,5,44,49,436,485,4316,4801,42724,47525,422924,470449,4186516,
%T 4656965,41442236,46099201,410235844,456335045,4060916204,4517251249,
%U 40198926196,44716177445,397928345756
%N Numerators of continued fraction convergents to sqrt(24).
%H Vincenzo Librandi, <a href="/A041038/b041038.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 (0,10,0,-1).
%F a(2n) = 2*A041006(2n) ; a(2n-1) = A041006(2n-1) = A001079(n). [From _M. F. Hasler_, Feb 13 2009]
%F G.f.: (4+5*x+4*x^2-x^3)/(1-10*x^2+x^4)
%t Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[24],n]]],{n,1,50}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 18 2011*)
%t Numerator[Convergents[Sqrt[24], 30]] (* _Vincenzo Librandi_, Oct 28 2013 *)
%Y Cf. A010480, A041039.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_.
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