Triangle read by rows: T(n,k) = ((Stirling2)^2)(n,k) * k!

Terms

a(0) =1a(1) =2a(2) =2a(3) =5a(4) =12a(5) =6a(6) =15a(7) =64a(8) =72a(9) =24a(10) =52a(11) =350a(12) =660a(13) =480a(14) =120a(15) =203a(16) =2024a(17) =5670a(18) =6720a(19) =3600a(20) =720a(21) =877a(22) =12460a(23) =48552a(24) =83160a(25) =71400a(26) =30240a(27) =5040a(28) =4140a(29) =81638