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 A041044 #22 Jul 09 2025 00:11:22
%S A041044 5,16,37,127,1307,4048,9403,32257,331973,1028176,2388325,8193151,
%T A041044 84319835,261152656,606625147,2081028097,21416906117,66331746448,
%U A041044 154080399013,528572943487,5439809833883,16848002445136
%N A041044 Numerators of continued fraction convergents to sqrt(28).
%H A041044 Vincenzo Librandi, <a href="/A041044/b041044.txt">Table of n, a(n) for n = 0..1000</a>
%H A041044 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,254,0,0,0,-1).
%F A041044 a(n) = 254*a(n-4)-a(n-8). G.f.: -(x^7-5*x^6+16*x^5-37*x^4-127*x^3-37*x^2-16*x-5)/((x^4-16*x^2+1)*(x^4+16*x^2+1)). [_Colin Barker_, Jul 16 2012]
%t A041044 Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[28],n]]],{n,1,50}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 18 2011 *)
%t A041044 CoefficientList[Series[- (x^7 - 5 x^6 + 16 x^5 - 37 x^4 - 127 x^3 - 37 x^2 - 16 x - 5)/((x^4 - 16 x^2 + 1) (x^4 + 16 x^2 + 1)), {x, 0, 30}], x] (* _Vincenzo Librandi_, Oct 22 2013 *)
%Y A041044 Cf. A010483, A041045.
%K A041044 nonn,cofr,frac,easy
%O A041044 0,1
%A A041044 _N. J. A. Sloane_