Triangle read by rows: T(n,k) (0 <= k <= n) = k!*(Stirling2(n,k)+(k+1)*Stirling2(n,k+1))^2.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =9a(5) =2a(6) =1a(7) =49a(8) =72a(9) =6a(10) =1a(11) =225a(12) =1250a(13) =600a(14) =24a(15) =1a(16) =961a(17) =16200a(18) =25350a(19) =5400a(20) =120a(21) =1a(22) =3969a(23) =181202a(24) =735000a(25) =470400a(26) =52920a(27) =720a(28) =1a(29) =16129