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 A041054 #26 Jul 09 2025 00:12:23
%S A041054 5,6,17,23,247,270,787,1057,11357,12414,36185,48599,522175,570774,
%T A041054 1663723,2234497,24008693,26243190,76495073,102738263,1103877703,
%U A041054 1206615966,3517109635,4723725601,50754365645
%N A041054 Numerators of continued fraction convergents to sqrt(33).
%H A041054 Vincenzo Librandi, <a href="/A041054/b041054.txt">Table of n, a(n) for n = 0..1000</a>
%H A041054 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,46,0,0,0,-1).
%F A041054 a(n) = 46*a(n-4)-a(n-8). G.f.: -(x^7-5*x^6+6*x^5-17*x^4-23*x^3-17*x^2-6*x-5)/(x^8-46*x^4+1). [_Colin Barker_, Jul 16 2012]
%t A041054 Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[33], n]]], {n, 1, 50}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 18 2011 *)
%t A041054 Numerator[Convergents[Sqrt[33],30]] (* _Harvey P. Dale_, Oct 25 2011 *)
%t A041054 CoefficientList[Series[- (x^7 - 5 x^6 + 6 x^5 - 17 x^4 - 23 x^3 - 17 x^2 - 6 x - 5)/(x^8 - 46 x^4 + 1), {x, 0, 30}], x] (* _Vincenzo Librandi_, Oct 23 2013 *)
%Y A041054 Cf. A010488, A041055.
%K A041054 nonn,cofr,frac,easy
%O A041054 0,1
%A A041054 _N. J. A. Sloane_