A139166 a(n) = (prime(n)!+8)/8.
16, 631, 4989601, 778377601, 44460928512001, 15205637551104001, 3231502092360622080001, 1105220249217462744317952000001, 1027854831772240352215695360000001
Offset: 3
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Mathematica
Table[(Prime[n]! + 8)/8, {n, 3, 30}]