Stirling transform of partitions numbers (A000041).

Terms

a(0) =1a(1) =1a(2) =3a(3) =10a(4) =38a(5) =163a(6) =774a(7) =4006a(8) =22376a(9) =133951a(10) =854402a(11) =5775948a(12) =41190317a(13) =308651432a(14) =2422315371a(15) =19856073597a(16) =169596622997