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 A041055 #26 Jul 09 2025 00:12:29
%S A041055 1,1,3,4,43,47,137,184,1977,2161,6299,8460,90899,99359,289617,388976,
%T A041055 4179377,4568353,13316083,17884436,192160443,210044879,612250201,
%U A041055 822295080,8835201001,9657496081,28150193163
%N A041055 Denominators of continued fraction convergents to sqrt(33).
%H A041055 Vincenzo Librandi, <a href="/A041055/b041055.txt">Table of n, a(n) for n = 0..200</a>
%H A041055 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,46,0,0,0,-1).
%F A041055 a(n) = 46*a(n-4)-a(n-8). G.f.: -(x^2-x-1)*(x^4+4*x^2+1)/(x^8-46*x^4+1). [_Colin Barker_, Jul 16 2012]
%t A041055 Table[Denominator[FromContinuedFraction[ContinuedFraction[Sqrt[33], n]]], {n, 1, 50}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 18 2011 *)
%t A041055 Denominator[Convergents[Sqrt[33], 30]] (* _Vincenzo Librandi_, Oct 23 2013 *)
%t A041055 LinearRecurrence[{0,0,0,46,0,0,0,-1},{1,1,3,4,43,47,137,184},30] (* _Harvey P. Dale_, Apr 24 2022 *)
%Y A041055 Cf. A010488, A041054.
%K A041055 nonn,cofr,frac,easy
%O A041055 0,3
%A A041055 _N. J. A. Sloane_