Triangle read by rows: T(n, k) = e*Gamma(n - k + 1, 1)*binomial(n, k)^2.

Terms

a(0) =1a(1) =2a(2) =1a(3) =5a(4) =8a(5) =1a(6) =16a(7) =45a(8) =18a(9) =1a(10) =65a(11) =256a(12) =180a(13) =32a(14) =1a(15) =326a(16) =1625a(17) =1600a(18) =500a(19) =50a(20) =1a(21) =1957a(22) =11736a(23) =14625a(24) =6400a(25) =1125a(26) =72a(27) =1a(28) =13700a(29) =95893