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 A128796 #33 Sep 02 2024 15:37:04
%S A128796 0,0,8,48,192,640,1920,5376,14336,36864,92160,225280,540672,1277952,
%T A128796 2981888,6881280,15728640,35651584,80216064,179306496,398458880,
%U A128796 880803840,1937768448,4244635648,9261023232,20132659200,43620761600,94220845056,202937204736,435939180544
%N A128796 a(n) = n*(n-1)*2^n.
%H A128796 Vincenzo Librandi, <a href="/A128796/b128796.txt">Table of n, a(n) for n = 0..1000</a>
%H A128796 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (6,-12,8).
%F A128796 G.f.: 8*x^2/(1 - 2*x)^3. - _Vincenzo Librandi_, Feb 10 2013
%F A128796 a(n) = 8*A001788(n-1). - _R. J. Mathar_, Apr 26 2015
%F A128796 From _Amiram Eldar_, Jul 11 2020: (Start)
%F A128796 Sum_{n>=2} 1/a(n) = (1 - log(2))/2.
%F A128796 Sum_{n>=2} (-1)^n/a(n) = (3*log(3/2) - 1)/2. (End)
%F A128796 E.g.f.: 4*exp(2*x)*x^2. - _Stefano Spezia_, Sep 02 2024
%t A128796 CoefficientList[Series[8 x^2/(1 - 2 x)^3, {x, 0, 30}], x] (* _Vincenzo Librandi_, Feb 10 2013 *)
%o A128796 (Magma) [(n^2-n)*2^n: n in [0..30]]; // _Vincenzo Librandi_, Feb 10 2013
%o A128796 (PARI) a(n)=n*(n-1)<<n \\ _Charles R Greathouse IV_, Sep 24 2015
%Y A128796 Cf. A001788, A007758, A036289.
%K A128796 nonn,easy
%O A128796 0,3
%A A128796 _Mohammad K. Azarian_, Apr 07 2007