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 A166592 #16 May 18 2016 12:03:16 %S A166592 0,1,3,2,3,1,0,-1,-3,-2,-3,-1,0,1,3,2,3,1,0,-1,-3,-2,-3,-1,0,1,3,2,3, %T A166592 1,0,-1,-3,-2,-3,-1,0,1,3,2,3,1,0,-1,-3,-2,-3,-1,0,1,3,2,3,1,0,-1,-3, %U A166592 -2,-3,-1,0,1,3,2,3,1,0,-1,-3,-2,-3,-1,0,1,3,2,3,1,0,-1,-3,-2,-3,-1,0,1,3 %N A166592 Hankel transform of A166588(n-1). %C A166592 Hankel transform of 0,1,2,2,3,3,5,5,10,10,... is -a(n). %H A166592 G. C. Greubel, <a href="/A166592/b166592.txt">Table of n, a(n) for n = 0..100</a> %H A166592 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,0,-1). %F A166592 G.f.: x(1+3x+x^2)/(1-x^2+x^4). %F A166592 a(n) = (1-sqrt(3))*sin(5*Pi*n/6)+(1+sqrt(3))*sin(Pi*n/6). %F A166592 From _G. C. Greubel_, May 18 2016: (Start) %F A166592 a(n+12) = a(n). %F A166592 a(n) = a(n-2) - a(n-4). (End) %F A166592 E.g.f.: 2*sin(x/2)*(sqrt(3)*sinh(sqrt(3)*x/2) + cosh(sqrt(3)*x/2)). - _Ilya Gutkovskiy_, May 18 2016 %t A166592 CoefficientList[Series[x (1 + 3 x + x^2)/(1 - x^2 + x^4), {x, 0, 10}], x] (* or *) LinearRecurrence[{0,1,0,-1},{0,1,3,2}, 25] (* _G. C. Greubel_, May 18 2016 *) %K A166592 easy,sign %O A166592 0,3 %A A166592 _Paul Barry_, Oct 17 2009