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 A042126 #18 Jul 09 2025 02:17:14
%S A042126 24,97,4680,18817,907896,3650401,176127144,708158977,34167758040,
%T A042126 137379191137,6628368932616,26650854921601,1285869405169464,
%U A042126 5170128475599457,249452036233943400,1002978273411373057
%N A042126 Numerators of continued fraction convergents to sqrt(588).
%H A042126 Vincenzo Librandi, <a href="/A042126/b042126.txt">Table of n, a(n) for n = 0..200</a>
%H A042126 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,194,0,-1).
%F A042126 G.f.: (24 + 97*x + 24*x^2 - x^3)/(1 - 194*x^2 + x^4). - _Vincenzo Librandi_, Nov 17 2013
%F A042126 a(n) = 194*a(n-2) - a(n-4). - _Vincenzo Librandi_, Nov 17 2013
%t A042126 Numerator[Convergents[Sqrt[588], 30]] (* or *) CoefficientList[Series[(24 + 97 x + 24 x^2 - x^3)/(1 - 194 x^2 + x^4), {x, 0, 30}], x] (* _Vincenzo Librandi_, Nov 17 2013 *)
%t A042126 LinearRecurrence[{0,194,0,-1},{24,97,4680,18817},20] (* _Harvey P. Dale_, Jul 11 2023 *)
%o A042126 (Magma) I:=[24, 97, 4680, 18817]; [n le 4 select I[n] else 194*Self(n-2)-Self(n-4): n in [1..25]]; // _Vincenzo Librandi_, Nov 17 2013
%Y A042126 Cf. A042127.
%K A042126 nonn,cofr,frac,easy,less
%O A042126 0,1
%A A042126 _N. J. A. Sloane_