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 A383150 #18 May 02 2025 00:52:29
%S A383150 0,-1,2,18,64,160,288,224,-1024,-6912,-28160,-95744,-294912,-851968,
%T A383150 -2351104,-6266880,-16252928,-41222144,-102629376,-251527168,
%U A383150 -608174080,-1453326336,-3437232128,-8055160832,-18723373056,-43201331200,-99019128832,-225586446336
%N A383150 a(n) = Sum_{k=0..n} k^3 * (-1)^k * 3^(n-k) * binomial(n,k).
%H A383150 Vincenzo Librandi, <a href="/A383150/b383150.txt">Table of n, a(n) for n = 0..700</a>
%F A383150 a(n) = 2^(n-3) * (-12*n + 9*n^2 - n^3).
%t A383150 Table[2^(n-3)*(-12*n+9*n^2-n^3),{n,0,30}] (* _Vincenzo Librandi_, May 02 2025 *)
%o A383150 (PARI) a(n) = 2^(n-3)*(-12*n+9*n^2-n^3);
%o A383150 (Magma) [2^(n-3) * (-12*n+9*n^2-n^3): n in [0..30]]; // _Vincenzo Librandi_, May 02 2025
%Y A383150 Cf. A001787, A178987, A383151, A383152, A383155.
%K A383150 sign,easy
%O A383150 0,3
%A A383150 _Seiichi Manyama_, Apr 18 2025