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 A041917 #20 Jul 09 2025 01:54:25 %S A041917 1,1,10,11,472,483,4819,5302,227503,232805,2322748,2555553,109655974, %T A041917 112211527,1119559717,1231771244,52853951965,54085723209,539625460846, %U A041917 593711184055,25475495191156,26069206375211,260098352568055,286167558943266,12279135828185227 %N A041917 Denominators of continued fraction convergents to sqrt(480). %H A041917 Vincenzo Librandi, <a href="/A041917/b041917.txt">Table of n, a(n) for n = 0..200</a> %H A041917 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,482,0,0,0,-1). %F A041917 a(n) = 482*a(n-4)-a(n-8). G.f.: -(x^2-x-1)*(x^4+11*x^2+1)/((x^4-22*x^2+1)*(x^4+22*x^2+1)). [_Colin Barker_, Jul 16 2012] %t A041917 Table[Denominator[FromContinuedFraction[ContinuedFraction[Sqrt[480], n]]], {n, 1, 50}] (* _Vladimir Joseph Stephan Orlovsky_, Jun 23 2011 *) %t A041917 Denominator[Convergents[Sqrt[480], 30]] (* _Vincenzo Librandi_, Oct 25 2013 *) %Y A041917 Cf. A041916. %K A041917 nonn,cofr,frac,easy %O A041917 0,3 %A A041917 _N. J. A. Sloane_