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 A041099 #21 Jul 09 2025 00:16:18 %S A041099 1,1,2,9,11,20,291,311,602,2719,3321,6040,87881,93921,181802,821129, %T A041099 1002931,1824060,26539771,28363831,54903602,247978239,302881841, %U A041099 550860080,8014922961,8565783041,16580706002 %N A041099 Denominators of continued fraction convergents to sqrt(57). %H A041099 Vincenzo Librandi, <a href="/A041099/b041099.txt">Table of n, a(n) for n = 0..200</a> %H A041099 <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,302,0,0,0,0,0,-1). %F A041099 From _Colin Barker_, Jul 18 2012: (Start) %F A041099 a(n) = 302*a(n-6)-a(n-12). %F A041099 G.f.: -(x^4-x^3+2*x^2+x+1)*(x^6-10*x^3-1)/(x^12-302*x^6+1). (End) %t A041099 Denominator[Convergents[Sqrt[57], 30]] (* _Vincenzo Librandi_, Oct 24 2013 *) %Y A041099 Cf. A010510, A041098. %K A041099 nonn,cofr,frac,easy %O A041099 0,3 %A A041099 _N. J. A. Sloane_