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

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

Offset

0,3

Comments

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

Links

Table of n, a(n) for n=0..13.

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

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}]

Crossrefs

Cf. A000290, A000578, A374848.

Sequence in context: A268055 A268078 A202548 * A364520 A376524 A209779

Adjacent sequences: A374883 A374884 A374885 * A374887 A374888 A374889

Keyword

nonn,new

Author

Clark Kimberling, Sep 13 2024

Status

approved