Triangle T(n,k) = (k+1)^(n-k)*binomial(n,k).

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =4a(5) =1a(6) =1a(7) =12a(8) =9a(9) =1a(10) =1a(11) =32a(12) =54a(13) =16a(14) =1a(15) =1a(16) =80a(17) =270a(18) =160a(19) =25a(20) =1a(21) =1a(22) =192a(23) =1215a(24) =1280a(25) =375a(26) =36a(27) =1a(28) =1a(29) =448