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A375056
Obverse convolution (n^2 - n)**(n^2 - n); see Comments.
1
0, 0, 0, 144, 20736, 3686400, 846720000, 248961081600, 91903601147904, 41768738415968256, 22963973960761344000, 15039892634817600000000, 11578453280457231826944000, 10356817418502774061032013824, 10655399435864041308654755905536
OFFSET
0,4
COMMENTS
See A374848 for the definition of obverse convolution and a guide to related sequences.
a(2k+1) is a square for k>=0.
FORMULA
a(n) ~ n^(2*n+2) / exp(2*n - Pi*(n-1)/2). - Vaclav Kotesovec, Sep 22 2024
MATHEMATICA
s[n_] := n^2 - n; t[n_] := n^2 - n;
u[n_] := Product[s[k] + t[n - k], {k, 0, n}];
Table[u[n], {n, 0, 20}]
CROSSREFS
Sequence in context: A280024 A091037 A304555 * A362547 A231784 A203818
KEYWORD
nonn
AUTHOR
Clark Kimberling, Sep 22 2024
STATUS
approved