Binomial transform of A012245 (characteristic function of factorial numbers).

Terms

a(0) =0a(1) =1a(2) =3a(3) =6a(4) =10a(5) =15a(6) =22a(7) =35a(8) =64a(9) =129a(10) =265a(11) =528a(12) =1002a(13) =1807a(14) =3108a(15) =5125a(16) =8144a(17) =12529a(18) =18735a(19) =27322a(20) =38970a(21) =54495a(22) =74866a(23) =101223a(24) =134897a(25) =177450a(26) =230906a(27) =299313a(28) =397621a(29) =594210