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 A041154 #13 Jul 09 2025 00:21:01 %S A041154 9,28,513,1567,28719,87724,1607751,4910977,90005337,274926988, %T A041154 5038691121,15391000351,282076697439,861621092668,15791256365463, %U A041154 48235390189057,884028279768489,2700320229494524,49489792410669921 %N A041154 Numerators of continued fraction convergents to sqrt(87). %H A041154 Vincenzo Librandi, <a href="/A041154/b041154.txt">Table of n, a(n) for n = 0..100</a> %H A041154 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,56,0,-1). %F A041154 G.f.: (9 + 28*x + 9*x^2 - x^3) / (1 - 56*x^2 + x^4). [_Bruno Berselli_, Oct 29 2013] %F A041154 a(n) = 56*a(n-2) - a(n-4). [_Bruno Berselli_, Oct 29 2013] %t A041154 Numerator[Convergents[Sqrt[87], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *) %Y A041154 Cf. A010538, A041155. %K A041154 nonn,cofr,frac,easy %O A041154 0,1 %A A041154 _N. J. A. Sloane_