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

Terms

a(0) =1a(1) =3a(2) =1a(3) =13a(4) =9a(5) =1a(6) =73a(7) =79a(8) =18a(9) =1a(10) =501a(11) =755a(12) =265a(13) =30a(14) =1a(15) =4051a(16) =7981a(17) =3840a(18) =665a(19) =45a(20) =1a(21) =37633a(22) =93135a(23) =57631a(24) =13580a(25) =1400a(26) =63a(27) =1a(28) =394353a(29) =1192591