Triangle T(n, k) = n!*StirlingS2(n, k)/binomial(n, k), read by rows.

Terms

a(0) =1a(1) =0a(2) =1a(3) =0a(4) =1a(5) =2a(6) =0a(7) =2a(8) =6a(9) =6a(10) =0a(11) =6a(12) =28a(13) =36a(14) =24a(15) =0a(16) =24a(17) =180a(18) =300a(19) =240a(20) =120a(21) =0a(22) =120a(23) =1488a(24) =3240a(25) =3120a(26) =1800a(27) =720a(28) =0a(29) =720