login
A374884
Obverse convolution (n^2)**(n^2+1); see Comments.
1
1, 4, 75, 3600, 314721, 42928704, 8362250379, 2196324000000, 746766466070625, 318799285706474496, 166848786507705952491, 105015062916733187395584, 78238953853457166762890625, 68086982534559349084416000000, 68431651668664224198422729187051
OFFSET
0,2
COMMENTS
See A374848 for the definition of obverse convolution and a guide to related sequences.
FORMULA
a(n) ~ exp((Pi-4)*n/2) * n^(2*n+2). - Vaclav Kotesovec, Sep 13 2024
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}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, Sep 13 2024
STATUS
approved