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 A128789 #20 Sep 08 2022 08:45:30
%S A128789 0,2,32,216,1024,4000,13824,43904,131072,373248,1024000,2725888,
%T A128789 7077888,17997824,44957696,110592000,268435456,643956736,1528823808,
%U A128789 3596091392,8388608000,19421724672,44660948992,102064193536,231928233984
%N A128789 n^3*2^n.
%H A128789 Vincenzo Librandi, <a href="/A128789/b128789.txt">Table of n, a(n) for n = 0..1000</a>
%H A128789 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (8,-24,32,-16).
%F A128789 G.f.: 2*x*(1 + 8*x + 4*x^2)/(1 - 2*x)^4. - _Vincenzo Librandi_, Feb 07 2013
%F A128789 a(0)=0, a(1)=2, a(2)=32, a(3)=216, a(n)=8*a(n-1)-24*a(n-2)+ 32*a(n-3)- 16*a(n-4). - _Harvey P. Dale_, Jun 14 2013
%F A128789 E.g.f.: exp(2*x)*(2*x + 12*x^2 + 8*x^3). - _Geoffrey Critzer_, Aug 28 2013
%F A128789 Sum_{n>=1} 1/a(n) = (log(2))^3/6 - Pi^2*log(2)/12 + 7*Zeta(3)/8 = 0.53721319360804020094... . - _Vaclav Kotesovec_, Feb 15 2015
%t A128789 CoefficientList[Series[2 x (1 + 8 x + 4 x^2)/(1 - 2 x)^4, {x, 0, 30}], x] (* _Vincenzo Librandi_, Feb 07 2013 *)
%t A128789 Table[n^3 2^n,{n,0,30}] (* or *) LinearRecurrence[{8,-24,32,-16},{0,2,32,216},30] (* _Harvey P. Dale_, Jun 14 2013 *)
%o A128789 (Magma) [n^3*2^n: n in [0..30]]; // _Vincenzo Librandi_, Feb 07 2013
%Y A128789 Cf. A036289, A007758.
%K A128789 nonn,easy
%O A128789 0,2
%A A128789 _Mohammad K. Azarian_, Apr 07 2007