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A374881
Obverse convolution (n)**(n^2); see Comments.
3
0, 1, 16, 405, 15360, 818125, 58226688, 5332085577, 610140160000, 85235284359225, 14264819712000000, 2815701027697558429, 646960843646287478784, 171112492588968115453125, 51595090958399913852928000, 17587698619968027952119140625
OFFSET
0,3
COMMENTS
See A374848 for the definition of obverse convolution and a guide to related sequences.
FORMULA
a(n) ~ n^(2*n + 1) / exp(2*n + 1 - Pi*sqrt(n)). - Vaclav Kotesovec, Jul 31 2024
MATHEMATICA
s[n_] := n; t[n_] := n^2;
u[n_] := Product[s[k] + t[n - k], {k, 0, n}]
Table[u[n], {n, 0, 18}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, Jul 31 2024
STATUS
approved