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 A168236 #27 Sep 08 2022 08:45:48 %S A168236 2,2,5,5,8,8,11,11,14,14,17,17,20,20,23,23,26,26,29,29,32,32,35,35,38, %T A168236 38,41,41,44,44,47,47,50,50,53,53,56,56,59,59,62,62,65,65,68,68,71,71, %U A168236 74,74,77,77,80,80,83,83,86,86,89,89,92,92,95,95,98,98,101,101,104,104 %N A168236 a(n) = (6*n - 3*(-1)^n - 1)/4. %C A168236 Essentially the same as A168199. - _Georg Fischer_, Oct 14 2018 %H A168236 Vincenzo Librandi, <a href="/A168236/b168236.txt">Table of n, a(n) for n = 1..1000</a> %H A168236 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,-1). %F A168236 G.f.: x*(2 + x^2) / ( (1+x)*(x-1)^2 ). %F A168236 a(n+1) = A016789(floor(n/2)). %F A168236 a(n) = a(n-1) +a(n-2) -a(n-3). - _Vincenzo Librandi_, Sep 16 2013 %F A168236 E.g.f.: (1/4)*(-3 + 4*exp(x) + (6*x - 1)*exp(2*x))*exp(-x). - _G. C. Greubel_, Jul 16 2016 %t A168236 CoefficientList[Series[(2 + x^2) / ((1 + x) (x - 1)^2), {x, 0, 70}], x] (* _Vincenzo Librandi_, Sep 16 2013 *) %t A168236 Table[(6*n - 3*(-1)^n - 1)/4, {n,1,50}] (* or *) LinearRecurrence[ {1,1, -1}, {2, 2, 5}, 50] (* _G. C. Greubel_, Jul 16 2016 *) %o A168236 (Magma) [3*n/2-1/4-3*(-1)^n/4: n in [1..70]]; // _Vincenzo Librandi_, Sep 16 2013 %Y A168236 Cf. A016789. %K A168236 nonn,easy,less %O A168236 1,1 %A A168236 _Vincenzo Librandi_, Nov 21 2009