OFFSET
0,2
FORMULA
a(n) ~ n^(2*n + 3/2) / exp(2*n - Pi*n^(1/2) + 1).
MATHEMATICA
Table[Product[k^2 + n, {k, 0, n}], {n, 0, 15}]
Round[Table[Sqrt[n] * Gamma[1 - I*Sqrt[n] + n] * Gamma[1 + I*Sqrt[n] + n] * Sinh[Sqrt[n]*Pi] / Pi, {n, 0, 15}]]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Aug 31 2024
STATUS
approved