Triangle read by rows: T(n, k) = n!*binomial(n + 1, k)/(k + 1)!, 0 <= k <= n.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =1a(6) =6a(7) =12a(8) =6a(9) =1a(10) =24a(11) =60a(12) =40a(13) =10a(14) =1a(15) =120a(16) =360a(17) =300a(18) =100a(19) =15a(20) =1a(21) =720a(22) =2520a(23) =2520a(24) =1050a(25) =210a(26) =21a(27) =1a(28) =5040a(29) =20160