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 A042414 #15 Jul 09 2025 02:45:34
%S A042414 27,244,13203,119071,6443037,58106404,3144188853,28355806081,
%T A042414 1534357717227,13837575261124,748763421817923,6752708371622431,
%U A042414 365395015489429197,3295307847776485204,178312018795419630213
%N A042414 Numerators of continued fraction convergents to sqrt(735).
%H A042414 Vincenzo Librandi, <a href="/A042414/b042414.txt">Table of n, a(n) for n = 0..200</a>
%H A042414 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,488,0,-1).
%F A042414 G.f.: (27 +244*x +27*x^2 -x^3)/(1 -488*x^2 +x^4). - _Vincenzo Librandi_, Nov 23 2013
%F A042414 a(n) = 488*a(n-2) - a(n-4). - _Vincenzo Librandi_, Nov 23 2013
%t A042414 Numerator[Convergents[Sqrt[735], 30]] (* or *) CoefficientList[Series[(27 + 244 x + 27 x^2 - x^3)/(1 - 488 x^2 + x^4), {x, 0, 30}], x] (* _Vincenzo Librandi_, Nov 23 2013 *)
%o A042414 (Magma) I:=[27, 244, 13203, 119071]; [n le 4 select I[n] else 488*Self(n-2)-Self(n-4): n in [1..30]]; // _Vincenzo Librandi_, Nov 23 2013
%Y A042414 Cf. A042415.
%K A042414 nonn,cofr,frac,easy
%O A042414 0,1
%A A042414 _N. J. A. Sloane_