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 A041158 #17 Jul 09 2025 00:21:27 %S A041158 9,19,66,217,500,9217,18934,66019,216991,500001,9217009,18934019, %T A041158 66019066,216991217,500001500,9217018217,18934037934,66019132019, %U A041158 216991433991,500002000001,9217027434009,18934056868019,66019198038066,216991650982217,500002500002500 %N A041158 Numerators of continued fraction convergents to sqrt(89). %H A041158 Vincenzo Librandi, <a href="/A041158/b041158.txt">Table of n, a(n) for n = 0..200</a> %H A041158 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,1000,0,0,0,0,1). %F A041158 G.f.: -(x^9-9*x^8+19*x^7-66*x^6+217*x^5+500*x^4+217*x^3+66*x^2+19*x+9) / (x^10+1000*x^5-1). - _Colin Barker_, Nov 05 2013 %t A041158 Numerator[Convergents[Sqrt[89],30]] (* _Harvey P. Dale_, Jul 29 2012 *) %Y A041158 Cf. A010540, A041159. %K A041158 nonn,cofr,frac,easy %O A041158 0,1 %A A041158 _N. J. A. Sloane_ %E A041158 More terms from _Colin Barker_, Nov 05 2013