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URL: https://oeis.org/A383150

⇱ A383150 - OEIS


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A383150
a(n) = Sum_{k=0..n} k^3 * (-1)^k * 3^(n-k) * binomial(n,k).
5
0, -1, 2, 18, 64, 160, 288, 224, -1024, -6912, -28160, -95744, -294912, -851968, -2351104, -6266880, -16252928, -41222144, -102629376, -251527168, -608174080, -1453326336, -3437232128, -8055160832, -18723373056, -43201331200, -99019128832, -225586446336
OFFSET
0,3
FORMULA
a(n) = 2^(n-3) * (-12*n + 9*n^2 - n^3).
G.f.: -x*(1 - 10*x + 22*x^2)/(1 - 2*x)^4. - Andrew Howroyd, Nov 13 2025
MATHEMATICA
Table[2^(n-3)*(-12*n+9*n^2-n^3), {n, 0, 30}] (* Vincenzo Librandi, May 02 2025 *)
PROG
(PARI) a(n) = 2^(n-3)*(-12*n+9*n^2-n^3);
(Magma) [2^(n-3) * (-12*n+9*n^2-n^3): n in [0..30]]; // Vincenzo Librandi, May 02 2025
CROSSREFS
KEYWORD
sign,easy
AUTHOR
Seiichi Manyama, Apr 18 2025
STATUS
approved