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 A041275 #15 Jul 09 2025 00:33:05 %S A041275 1,4,97,392,9505,38412,931393,3763984,91267009,368832020,8943235489, %T A041275 36141773976,876345810913,3541525017628,85872946233985, %U A041275 347033309953568,8414672385119617,34005722850432036,824552020795488481 %N A041275 Denominators of continued fraction convergents to sqrt(150). %H A041275 Vincenzo Librandi, <a href="/A041275/b041275.txt">Table of n, a(n) for n = 0..200</a> %H A041275 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,98,0,-1). %F A041275 G.f.: (1 +4*x -x^2)/(x^4 -98*x^2 +1). - _Vincenzo Librandi_, Dec 14 2013 %F A041275 a(n) = 98*a(n-2) - a(n-4). - _Vincenzo Librandi_, Dec 14 2013 %t A041275 Denominator[Convergents[Sqrt[150], 30]] (* or *) CoefficientList[Series[(1 + 4 x - x^2)/(x^4 - 98 x^2 + 1), {x, 0, 30}], x] (* _Vincenzo Librandi_, Dec 14 2013 *) %o A041275 (Magma) I:=[1,4,97,392]; [n le 4 select I[n] else 98*Self(n-2)-Self(n-4): n in [1..40]]; // _Vincenzo Librandi_, Dec 14 2013 %Y A041275 Cf. A041274. %K A041275 nonn,frac,easy %O A041275 0,2 %A A041275 _N. J. A. Sloane_