Triangle read by rows. T(n, k) = Sum_{j=0..n}((-1)^(n-j)*binomial(n, j)*j^(n+k)) / n!.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =3a(5) =7a(6) =1a(7) =6a(8) =25a(9) =90a(10) =1a(11) =10a(12) =65a(13) =350a(14) =1701a(15) =1a(16) =15a(17) =140a(18) =1050a(19) =6951a(20) =42525a(21) =1a(22) =21a(23) =266a(24) =2646a(25) =22827a(26) =179487a(27) =1323652a(28) =1a(29) =28