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

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =13a(5) =1a(6) =1a(7) =121a(8) =121a(9) =1a(10) =1a(11) =1081a(12) =2281a(13) =1081a(14) =1a(15) =1a(16) =10081a(17) =35281a(18) =35281a(19) =10081a(20) =1a(21) =1a(22) =100801a(23) =524161a(24) =876961a(25) =524161a(26) =100801a(27) =1a(28) =1a(29) =1088641