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 A041089 #24 Jul 09 2025 00:15:18
%S A041089 1,4,5,14,19,90,1279,5206,6485,18176,24661,116820,1660141,6757384,
%T A041089 8417525,23592434,32009959,151632270,2154861739,8771079226,
%U A041089 10925940965,30622961156,41548902121,196818569640,2797008877081,11384854077964,14181862955045,39748579988054
%N A041089 Denominators of continued fraction convergents to sqrt(52).
%H A041089 Vincenzo Librandi, <a href="/A041089/b041089.txt">Table of n, a(n) for n = 0..200</a>
%H A041089 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,1298,0,0,0,0,0,-1).
%F A041089 a(n) = 1298*a(n-6)-a(n-12). G.f.: -(x^10-4*x^9+5*x^8-14*x^7+19*x^6-90*x^5-19*x^4-14*x^3-5*x^2-4*x-1)/((x^2-3*x-1)*(x^2+3*x-1)*(x^4-3*x^3+10*x^2+3*x+1)*(x^4+3*x^3+10*x^2-3*x+1)). [_Colin Barker_, Jul 18 2012]
%t A041089 Table[Denominator[FromContinuedFraction[ContinuedFraction[Sqrt[52], n]]], {n, 1, 50}] (* _Vladimir Joseph Stephan Orlovsky_, Jun 23 2011 *)
%t A041089 Denominator[Convergents[Sqrt[52], 30]] (* _Vincenzo Librandi_, Oct 24 2013 *)
%Y A041089 Cf. A010505, A041088.
%K A041089 nonn,cofr,frac,easy
%O A041089 0,2
%A A041089 _N. J. A. Sloane_