Triangle of idempotent numbers (version 3), T(n, k) = binomial(n, k) * (n - k)^k.

Terms

a(0) =1a(1) =1a(2) =0a(3) =1a(4) =2a(5) =0a(6) =1a(7) =6a(8) =3a(9) =0a(10) =1a(11) =12a(12) =24a(13) =4a(14) =0a(15) =1a(16) =20a(17) =90a(18) =80a(19) =5a(20) =0a(21) =1a(22) =30a(23) =240a(24) =540a(25) =240a(26) =6a(27) =0a(28) =1a(29) =42