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 A041629 #21 Jul 09 2025 01:09:14
%S A041629 1,4,145,584,21169,85260,3090529,12447376,451196065,1817231636,
%T A041629 65871534961,265303371480,9616792908241,38732475004444,
%U A041629 1403985893068225,5654676047277344,204972323595052609,825543970427487780,29924555258984612689,120523765006365938536
%N A041629 Denominators of continued fraction convergents to sqrt(333).
%H A041629 Vincenzo Librandi, <a href="/A041629/b041629.txt">Table of n, a(n) for n = 0..200</a>
%H A041629 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0, 146, 0, -1).
%F A041629 G.f.: -(x^2-4*x-1) / ((x^2-12*x-1)*(x^2+12*x-1)). - _Colin Barker_, Nov 20 2013
%F A041629 a(n) = 146*a(n-2) - a(n-4) for n>3. - _Vincenzo Librandi_, Dec 22 2013
%t A041629 Denominator[Convergents[Sqrt[333], 30]] (* _Vincenzo Librandi_, Dec 22 2013 *)
%t A041629 LinearRecurrence[{0,146,0,-1},{1,4,145,584},20] (* _Harvey P. Dale_, Jul 18 2024 *)
%o A041629 (Magma) I:=[1,4,145,584]; [n le 4 select I[n] else 146*Self(n-2)-Self(n-4): n in [1..40]]; // _Vincenzo Librandi_, Dec 22 2013
%Y A041629 Cf. A041628, A040314.
%K A041629 nonn,frac,easy
%O A041629 0,2
%A A041629 _N. J. A. Sloane_
%E A041629 More terms from _Colin Barker_, Nov 20 2013