a(n) = Sum_{prime p <= n} n!/p.

Terms

a(0) =1a(1) =5a(2) =20a(3) =124a(4) =744a(5) =5928a(6) =47424a(7) =426816a(8) =4268160a(9) =50578560a(10) =606942720a(11) =8369256960a(12) =117169597440