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 A042127 #20 Jul 09 2025 02:17:22
%S A042127 1,4,193,776,37441,150540,7263361,29203984,1409054593,5665422356,
%T A042127 273349327681,1099062733080,53028360515521,213212504795164,
%U A042127 10287228590683393,41362126867528736,1995669318232062721,8024039399795779620,387149560508429484481
%N A042127 Denominators of continued fraction convergents to sqrt(588).
%H A042127 Vincenzo Librandi, <a href="/A042127/b042127.txt">Table of n, a(n) for n = 0..200</a>
%H A042127 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,194,0,-1).
%F A042127 G.f.: -(x^2-4*x-1) / ((x^2-14*x+1)*(x^2+14*x+1)). - _Colin Barker_, Dec 02 2013
%F A042127 a(n) = 194*a(n-2) - a(n-4) for n>3. - _Vincenzo Librandi_, Jan 15 2014
%t A042127 Denominator[Convergents[Sqrt[588], 30]] (* _Vincenzo Librandi_, Jan 15 2014 *)
%t A042127 LinearRecurrence[{0,194,0,-1},{1,4,193,776},20] (* _Harvey P. Dale_, Dec 05 2018 *)
%o A042127 (Magma) I:=[1,4,193,776]; [n le 4 select I[n] else 194*Self(n-2)-Self(n-4): n in [1..30]]; // _Vincenzo Librandi_, Jan 15 2014
%Y A042127 Cf. A042126, A040563.
%K A042127 nonn,frac,easy
%O A042127 0,2
%A A042127 _N. J. A. Sloane_
%E A042127 More terms from _Colin Barker_, Dec 02 2013