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 A041080 #19 Jul 09 2025 00:14:34
%S A041080 6,7,41,48,617,665,3942,4607,59226,63833,378391,442224,5685079,
%T A041080 6127303,36321594,42448897,545708358,588157255,3486494633,4074651888,
%U A041080 52382317289,56456969177,334667163174,391124132351,5028156751386,5419280883737,32124561170071
%N A041080 Numerators of continued fraction convergents to sqrt(47).
%H A041080 Vincenzo Librandi, <a href="/A041080/b041080.txt">Table of n, a(n) for n = 0..200</a>
%H A041080 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,96,0,0,0,-1).
%F A041080 G.f.: -(x^7-6*x^6+7*x^5-41*x^4-48*x^3-41*x^2-7*x-6) / (x^8-96*x^4+1). - _Colin Barker_, Nov 04 2013
%t A041080 Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[47],n]]],{n,1,50}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 22 2011*)
%t A041080 Numerator[Convergents[Sqrt[47],30]] (* _Harvey P. Dale_, Oct 15 2013 *)
%Y A041080 Cf. A041081, A010501.
%K A041080 nonn,cofr,easy,frac
%O A041080 0,1
%A A041080 _N. J. A. Sloane_
%E A041080 More terms from _Colin Barker_, Nov 04 2013