This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A041038 #29 Jul 09 2025 00:11:16
%S A041038 4,5,44,49,436,485,4316,4801,42724,47525,422924,470449,4186516,
%T A041038 4656965,41442236,46099201,410235844,456335045,4060916204,4517251249,
%U A041038 40198926196,44716177445,397928345756
%N A041038 Numerators of continued fraction convergents to sqrt(24).
%H A041038 Vincenzo Librandi, <a href="/A041038/b041038.txt">Table of n, a(n) for n = 0..200</a>
%H A041038 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,10,0,-1).
%F A041038 a(2n) = 2*A041006(2n) ; a(2n-1) = A041006(2n-1) = A001079(n). [From _M. F. Hasler_, Feb 13 2009]
%F A041038 G.f.: (4+5*x+4*x^2-x^3)/(1-10*x^2+x^4)
%t A041038 Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[24],n]]],{n,1,50}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 18 2011*)
%t A041038 Numerator[Convergents[Sqrt[24], 30]] (* _Vincenzo Librandi_, Oct 28 2013 *)
%Y A041038 Cf. A010480, A041039.
%K A041038 nonn,cofr,frac,easy
%O A041038 0,1
%A A041038 _N. J. A. Sloane_