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 A042758 #18 Jul 09 2025 03:22:06
%S A042758 30,181,10890,65521,3942150,23718421,1427047410,8586002881,
%T A042758 516587220270,3108109324501,187003146690330,1125126989466481,
%U A042758 67694622514679190,407292862077541621,24505266347167176450,147438890945080600321,8870838723052003195710
%N A042758 Numerators of continued fraction convergents to sqrt(910).
%H A042758 Vincenzo Librandi, <a href="/A042758/b042758.txt">Table of n, a(n) for n = 0..200</a>
%H A042758 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,362,0,-1).
%F A042758 G.f.: (30 +181*x +30*x^2 -x^3)/(1 -362*x^2 +x^4). - _Vincenzo Librandi_, Dec 04 2013
%F A042758 a(n) = 362*a(n-2) - a(n-4). - _Vincenzo Librandi_, Dec 04 2013
%t A042758 Numerator[Convergents[Sqrt[910], 30]] (* or *) CoefficientList[Series[(30 + 181 x + 30 x^2 - x^3)/(1 - 362 x^2 + x^4), {x, 0, 30}], x] (* _Vincenzo Librandi_, Dec 04 2013 *)
%o A042758 (Magma) I:=[30, 181, 10890, 65521]; [n le 4 select I[n] else 362*Self(n-2)-Self(n-4): n in [1..30]]; // _Vincenzo Librandi_, Dec 04 2013
%Y A042758 Cf. A042759.
%K A042758 nonn,cofr,frac,easy
%O A042758 0,1
%A A042758 _N. J. A. Sloane_
%E A042758 More terms from _Vincenzo Librandi_, Dec 04 2013