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

%I #9 Sep 27 2024 04:01:20

%S 0,1,64,10935,3440640,1819796875,1496658788352,1803211314966369,

%T 3041248222904320000,6927551870579340989625,

%U 20704007211909120000000000,79269804046766547371821983319,381109146011936063547707158953984,2261992022793941981178428306342521875

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

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

%F 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

%t s[n_] := n^2; t[n_] := n^3;

%t u[n_] := Product[s[k] + t[n - k], {k, 0, n}]

%t Table[u[n], {n, 0, 20}]

%Y Cf. A000290, A000578, A374848, A376523.

%K nonn

%O 0,3

%A _Clark Kimberling_, Sep 13 2024