Matrix product of Stirling2-triangle A008277(n,k) and unsigned Lah-triangle |A008297(n,k)|.

Terms

a(0) =1a(1) =3a(2) =1a(3) =13a(4) =9a(5) =1a(6) =75a(7) =79a(8) =18a(9) =1a(10) =541a(11) =765a(12) =265a(13) =30a(14) =1a(15) =4683a(16) =8311a(17) =3870a(18) =665a(19) =45a(20) =1a(21) =47293a(22) =100989a(23) =59101a(24) =13650a(25) =1400a(26) =63a(27) =1a(28) =545835a(29) =1362439