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 A041093 #23 Jul 09 2025 00:15:45
%S A041093 1,2,3,20,23,66,947,1960,2907,19402,22309,64020,918589,1901198,
%T A041093 2819787,18819920,21639707,62099334,891030383,1844160100,2735190483,
%U A041093 18255302998,20990493481,60236289960,864298552921,1788833395802,2653131948723,17707625088140
%N A041093 Denominators of continued fraction convergents to sqrt(54).
%H A041093 Vincenzo Librandi, <a href="/A041093/b041093.txt">Table of n, a(n) for n = 0..200</a>
%H A041093 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,970,0,0,0,0,0,-1).
%F A041093 a(n) = 970*a(n-6)-a(n-12). G.f.: -(x^10-2*x^9+3*x^8-20*x^7+23*x^6-66*x^5-23*x^4-20*x^3-3*x^2-2*x-1)/((x^4-10*x^2+1)*(x^8+10*x^6+99*x^4+10*x^2+1)). [_Colin Barker_, Jul 18 2012]
%t A041093 Table[Denominator[FromContinuedFraction[ContinuedFraction[Sqrt[54], n]]], {n, 1, 50}] (* _Vladimir Joseph Stephan Orlovsky_, Jun 23 2011 *)
%t A041093 Denominator[Convergents[Sqrt[54], 30]] (* _Vincenzo Librandi_, Oct 24 2013 *)
%Y A041093 Cf. A010507, A041092.
%K A041093 nonn,cofr,frac,easy
%O A041093 0,2
%A A041093 _N. J. A. Sloane_