A383139 a(n) = Sum_{k=0..n} k^5 * 2^(n-k) * binomial(n,k).

0, 1, 36, 447, 3768, 25725, 153468, 832923, 4213296, 20179449, 92510100, 409137399, 1755881064, 7345518453, 30059956332, 120676965075, 476358203232, 1852442299377, 7108046758404, 26948581794351, 101065091563800, 375297714478701, 1381124599327836, 5040775635099147

Offset: 0

Author

Seiichi Manyama, Apr 17 2025

Keywords

• nonn
• easy

Crossrefs

Cf. A027471, A383136, A383137, A383138.

Programs

PARI

a(n) = 3^(n-5)*n*(-30+10*n+80*n^2+20*n^3+n^4);

Formula

a(n) = 3^(n-5) * n * (-30 + 10*n + 80*n^2 + 20*n^3 + n^4).