A374884 Obverse convolution (n^2)**(n^2+1); see Comments.

1, 4, 75, 3600, 314721, 42928704, 8362250379, 2196324000000, 746766466070625, 318799285706474496, 166848786507705952491, 105015062916733187395584, 78238953853457166762890625, 68086982534559349084416000000, 68431651668664224198422729187051

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, A002522, A374848.

Programs

Mathematica

s[n_] := n^2; t[n_] := n^2 + 1;
u[n_] := Product[s[k] + t[n - k], {k, 0, n}]
Table[u[n], {n, 0, 20}]

Formula

a(n) ~ exp((Pi-4)*n/2) * n^(2*n+2). - Vaclav Kotesovec, Sep 13 2024