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 A129008 #23 Jun 24 2025 13:19:45
%S A129008 16,768,18432,327680,4915200,66060288,822083584,9663676416,
%T A129008 108716359680,1181116006400,12472585027584,128642860449792,
%U A129008 1300722255659008,12930256742645760,126663739519795200,1224979098644774912
%N A129008 a(n) = (n^3 + n^2)*8^n.
%H A129008 Vincenzo Librandi, <a href="/A129008/b129008.txt">Table of n, a(n) for n = 1..1000</a>
%H A129008 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (32,-384,2048,-4096).
%F A129008 G.f.: 16*x*(1 + 16*x)/(1 - 8*x)^4. - _Vincenzo Librandi_, Feb 12 2013
%F A129008 a(n) = 32*a(n-1)-384*a(n-2)+2048*a(n-3)-4096*a(n-4). - _Vincenzo Librandi_, Feb 12 2013
%t A129008 CoefficientList[Series[16 (1 + 16 x)/(1 - 8 x)^4, {x, 0, 30}], x] (* _Vincenzo Librandi_, Feb 12 2013 *)
%t A129008 LinearRecurrence[{32,-384,2048,-4096},{16,768,18432,327680},20] (* _Harvey P. Dale_, Jun 24 2025 *)
%o A129008 (Magma) [(n^3+n^2)*8^n: n in [1..25]]; // _Vincenzo Librandi_, Feb 12 2013
%o A129008 (Magma) I:=[16, 768, 18432, 327680]; [n le 4 select I[n] else 32*Self(n-1)-384*Self(n-2)+2048*Self(n-3)-4096*Self(n-4): n in [1..25]]; // _Vincenzo Librandi_, Feb 12 2013
%Y A129008 Cf. A128796, A036289.
%K A129008 nonn,easy
%O A129008 1,1
%A A129008 _Mohammad K. Azarian_, May 01 2007