A139165 a(n)=(prime(n)!+7)/7.
721, 5702401, 889574401, 50812489728001, 17377871486976001, 3693145248412139520001, 1263108856248528850649088000001, 1174691236311131831103651840000001
Offset: 4
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Mathematica
Table[(Prime[n]! + 7)/7, {n, 4, 30}]