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 A041074 #17 Jul 09 2025 00:13:55
%S A041074 6,7,13,20,53,73,126,199,2514,2713,5227,7940,21107,29047,50154,79201,
%T A041074 1000566,1079767,2080333,3160100,8400533,11560633,19961166,31521799,
%U A041074 398222754,429744553,827967307,1257711860
%N A041074 Numerators of continued fraction convergents to sqrt(44).
%H A041074 Vincenzo Librandi, <a href="/A041074/b041074.txt">Table of n, a(n) for n = 0..200</a>
%H A041074 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,398,0,0,0,0,0,0,0,-1).
%F A041074 G.f.: -(x^15 -6*x^14 +7*x^13 -13*x^12 +20*x^11 -53*x^10 +73*x^9 -126*x^8 -199*x^7 -126*x^6 -73*x^5 -53*x^4 -20*x^3 -13*x^2 -7*x -6) / ((x^8 -20*x^4 +1)*(x^8 +20*x^4 +1)). - _Colin Barker_, Nov 04 2013
%t A041074 Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[44],n]]],{n,1,50}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 22 2011*)
%t A041074 Numerator[Convergents[Sqrt[44], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *)
%Y A041074 Cf. A041075, A010498.
%K A041074 nonn,cofr,frac,easy
%O A041074 0,1
%A A041074 _N. J. A. Sloane_