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 A041068 #19 Jul 09 2025 00:13:24
%S A041068 6,13,32,397,826,2049,25414,52877,131168,1626893,3384954,8396801,
%T A041068 104146566,216689933,537526432,6667007117,13871540666,34410088449,
%U A041068 426792602054,887995292557,2202783187168,27321393538573
%N A041068 Numerators of continued fraction convergents to sqrt(41).
%H A041068 Vincenzo Librandi, <a href="/A041068/b041068.txt">Table of n, a(n) for n = 0..100</a>
%H A041068 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,64,0,0,1).
%F A041068 G.f.: -(x^5-6*x^4+13*x^3+32*x^2+13*x+6) / (x^6+64*x^3-1). - _Colin Barker_, Nov 04 2013
%t A041068 Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[41],n]]],{n,1,50}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 21 2011*)
%t A041068 Numerator[Convergents[Sqrt[41], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *)
%t A041068 LinearRecurrence[{0,0,64,0,0,1},{6,13,32,397,826,2049},30] (* _Harvey P. Dale_, Mar 17 2019 *)
%Y A041068 Cf. A041069, A010495.
%K A041068 nonn,cofr,frac,easy
%O A041068 0,1
%A A041068 _N. J. A. Sloane_