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 A041058 #23 Jul 09 2025 00:12:49
%S A041058 5,6,65,71,775,846,9235,10081,110045,120126,1311305,1431431,15625615,
%T A041058 17057046,186196075,203253121,2218727285,2421980406,26438531345,
%U A041058 28860511751,315043648855,343904160606,3754085254915
%N A041058 Numerators of continued fraction convergents to sqrt(35).
%H A041058 Vincenzo Librandi, <a href="/A041058/b041058.txt">Table of n, a(n) for n = 0..200</a>
%H A041058 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,12,0,-1).
%F A041058 a(n) = 12*a(n-2)-a(n-4). G.f.: (5+6*x+5*x^2-x^3)/(1-12*x^2+x^4). [_Colin Barker_, Apr 17 2012]
%t A041058 Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[35], n]]], {n, 1, 50}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 21 2011 *)
%t A041058 Numerator[Convergents[Sqrt[35], 30]] (* _Vincenzo Librandi_, Oct 23 2013 *)
%Y A041058 Cf. A010490, A041059.
%K A041058 nonn,cofr,frac,easy
%O A041058 0,1
%A A041058 _N. J. A. Sloane_