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 A041478 #19 Jul 09 2025 00:53:50 %S A041478 15,16,495,511,15825,16336,505905,522241,16173135,16695376,517034415, %T A041478 533729791,16528928145,17062657936,528408666225,545471324161, %U A041478 16892548391055,17438019715216,540033139847535 %N A041478 Numerators of continued fraction convergents to sqrt(255). %H A041478 Harvey P. Dale, <a href="/A041478/b041478.txt">Table of n, a(n) for n = 0..1000</a> %H A041478 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,32,0,-1). %F A041478 a(n) = 32*a(n-2)-a(n-4). G.f.: -(x^3-15*x^2-16*x-15)/(x^4-32*x^2+1). [_Colin Barker_, Jul 16 2012] %t A041478 Numerator[Convergents[Sqrt[255],50]] (* _Harvey P. Dale_, Jun 20 2012 *) %t A041478 CoefficientList[Series[- (x^3 - 15 x^2 - 16 x - 15)/(x^4 - 32 x^2 + 1), {x, 0, 30}], x] (* _Vincenzo Librandi_, Oct 27 2013 *) %Y A041478 Cf. A041479, A176110. %K A041478 nonn,cofr,frac,easy %O A041478 0,1 %A A041478 _N. J. A. Sloane_