Matrix product of Stirling2-triangle A008277(n,k) and unsigned Stirling1-triangle |A008275(n,k)|.

Terms

a(0) =1a(1) =2a(2) =1a(3) =6a(4) =6a(5) =1a(6) =26a(7) =36a(8) =12a(9) =1a(10) =150a(11) =250a(12) =120a(13) =20a(14) =1a(15) =1082a(16) =2040a(17) =1230a(18) =300a(19) =30a(20) =1a(21) =9366a(22) =19334a(23) =13650a(24) =4270a(25) =630a(26) =42a(27) =1a(28) =94586a(29) =209580