A383137 a(n) = Sum_{k=0..n} k^3 * 2^(n-k) * binomial(n,k).

0, 1, 12, 87, 504, 2565, 11988, 52731, 221616, 898857, 3542940, 13640319, 51490728, 191141613, 699376356, 2527001955, 9030245472, 31955015889, 112093661484, 390132432423, 1348223301720, 4629287423061, 15802106905332, 53651151578187, 181257000301584

Offset: 0

Author

Seiichi Manyama, Apr 17 2025

Keywords

• nonn
• easy

Crossrefs

Cf. A027471, A383136, A383138, A383139.

Programs

PARI

a(n) = 3^(n-3)*n*(2+6*n+n^2);

Formula

a(n) = 3^(n-3) * n * (2 + 6*n + n^2).