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 A041141 #24 Jul 09 2025 00:20:04
%S A041141 1,1,8,9,152,161,1279,1440,24319,25759,204632,230391,3890888,4121279,
%T A041141 32739841,36861120,622517761,659378881,5238169928,5897548809,
%U A041141 99598950872,105496499681,838074448639,943570948320,15935209621759,16878780570079
%N A041141 Denominators of continued fraction convergents to sqrt(79).
%H A041141 Vincenzo Librandi, <a href="/A041141/b041141.txt">Table of n, a(n) for n = 0..200</a>
%H A041141 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,160,0,0,0,-1).
%F A041141 G.f.: -(x^2-x-1)*(x^4+9*x^2+1) / (x^8-160*x^4+1). - _Colin Barker_, Nov 13 2013
%F A041141 a(n) = 160*a(n-4) - a(n-8). - _Vincenzo Librandi_, Dec 11 2013
%t A041141 Denominator/@Convergents[Sqrt[79], 50] (* _Vladimir Joseph Stephan Orlovsky_, Jul 05 2011 *)
%t A041141 CoefficientList[Series[-(x^2 - x - 1) (x^4 + 9 x^2 + 1)/(x^8 - 160 x^4 + 1), {x, 0, 30}], x] (* _Vincenzo Librandi_, Dec 11 2013 *)
%t A041141 LinearRecurrence[{0,0,0,160,0,0,0,-1},{1,1,8,9,152,161,1279,1440},40] (* _Harvey P. Dale_, Aug 09 2021 *)
%o A041141 (Magma) I:=[1,1,8,9,152,161,1279,1440]; [n le 8 select I[n] else 160*Self(n-4)-Self(n-8): n in [1..40]]; // _Vincenzo Librandi_, Dec 11 2013
%Y A041141 Cf. A041140, A010157, A020836, A010531.
%K A041141 nonn,frac,easy
%O A041141 0,3
%A A041141 _N. J. A. Sloane_