Matrix product of Stirling1-triangle A008275(n,k) and unsigned Lah-triangle |A008297(n,k)|.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =1a(6) =4a(7) =11a(8) =6a(9) =1a(10) =14a(11) =40a(12) =35a(13) =10a(14) =1a(15) =38a(16) =184a(17) =195a(18) =85a(19) =15a(20) =1a(21) =216a(22) =840a(23) =1204a(24) =665a(25) =175a(26) =21a(27) =1a(28) =600a(29) =4920