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 A041157 #24 Jul 09 2025 00:21:21
%S A041157 1,2,3,5,8,21,386,793,1179,1972,3151,8274,152083,312440,464523,776963,
%T A041157 1241486,3259935,59920316,123100567,183020883,306121450,489142333,
%U A041157 1284406116,23608452421,48501310958,72109763379,120611074337,192720837716,506052749769
%N A041157 Denominators of continued fraction convergents to sqrt(88).
%H A041157 Vincenzo Librandi, <a href="/A041157/b041157.txt">Table of n, a(n) for n = 0..200</a>
%H A041157 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,394,0,0,0,0,0,-1).
%F A041157 a(n) = 394*a(n-6)-a(n-12). G.f.: -(x^10-2*x^9+3*x^8-5*x^7+8*x^6 -21*x^5 -8*x^4 -5*x^3-3*x^2-2*x-1) / (x^12-394*x^6+1). - _Colin Barker_, Jul 18 2012
%t A041157 Denominator/@Convergents[Sqrt[88], 50] (* _Vladimir Joseph Stephan Orlovsky_, Jul 05 2011 *)
%t A041157 CoefficientList[Series[- (x^10 - 2 x^9 + 3 x^8 - 5 x^7 + 8 x^6 - 21 x^5 - 8 x^4 - 5 x^3 - 3 x^2 - 2 x - 1)/(x^12 - 394 x^6 + 1), {x, 0, 30}], x] (* _Vincenzo Librandi_, Oct 24 2013 *)
%t A041157 LinearRecurrence[{0,0,0,0,0,394,0,0,0,0,0,-1},{1,2,3,5,8,21,386,793,1179,1972,3151,8274},30] (* _Harvey P. Dale_, Jul 28 2017 *)
%Y A041157 Cf. A010539, A041156.
%K A041157 nonn,cofr,frac,easy
%O A041157 0,2
%A A041157 _N. J. A. Sloane_