a(n) = n! * [x^n] (Sum_{k=0..n} prime(k+1)*x^k/k!)^n.

A300631

a(n) = n! * [x^n] (Sum_{k=0..n} prime(k+1)*x^k/k!)^n.

Terms

    a(0) =1a(1) =3a(2) =38a(3) =786a(4) =22888a(5) =857800a(6) =39316464a(7) =2130380560a(8) =133222474368

External references