A374886 Obverse convolution (n^2)**(n^3); see Comments.

0, 1, 64, 10935, 3440640, 1819796875, 1496658788352, 1803211314966369, 3041248222904320000, 6927551870579340989625, 20704007211909120000000000, 79269804046766547371821983319, 381109146011936063547707158953984, 2261992022793941981178428306342521875

Offset: 0

Author

Clark Kimberling, Sep 13 2024

Keywords

• nonn

Comments

See A374848 for the definition of obverse convolution and a guide to related sequences.

Crossrefs

Cf. A000290, A000578, A374848, A376523.

Programs

Mathematica

s[n_] := n^2; t[n_] := n^3;
u[n_] := Product[s[k] + t[n - k], {k, 0, n}]
Table[u[n], {n, 0, 20}]

Formula

a(n) ~ exp(5/6 - 3*n - 4*Pi*n^(1/3)/3^(3/2) + 2*Pi*n^(2/3)/sqrt(3)) * n^(3*n + 17/6). - Vaclav Kotesovec, Sep 13 2024