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 A041098 #19 Jul 09 2025 00:16:11
%S A041098 7,8,15,68,83,151,2197,2348,4545,20528,25073,45601,663487,709088,
%T A041098 1372575,6199388,7571963,13771351,200370877,214142228,414513105,
%U A041098 1872194648,2286707753,4158902401,60511341367
%N A041098 Numerators of continued fraction convergents to sqrt(57).
%H A041098 Vincenzo Librandi, <a href="/A041098/b041098.txt">Table of n, a(n) for n = 0..200</a>
%H A041098 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,302,0,0,0,0,0,-1).
%F A041098 a(n) = 302*a(n-6)-a(n-12). G.f.: -(x^11-7*x^10+8*x^9-15*x^8+68*x^7-83*x^6-151*x^5-83*x^4-68*x^3-15*x^2-8*x-7)/(x^12-302*x^6+1). [_Colin Barker_, Jul 18 2012]
%t A041098 Numerator[Convergents[Sqrt[57], 30]] (* _Vincenzo Librandi_, Oct 25 2013 *)
%t A041098 LinearRecurrence[{0,0,0,0,0,302,0,0,0,0,0,-1},{7,8,15,68,83,151,2197,2348,4545,20528,25073,45601},30] (* _Harvey P. Dale_, Jul 22 2016 *)
%Y A041098 Cf. A010510, A041099.
%K A041098 nonn,cofr,frac,easy
%O A041098 0,1
%A A041098 _N. J. A. Sloane_