Triangle defined by T(n,k) = binomial(n^2, (n-k)*k), for n>=0, k=0..n, as read by rows.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =4a(5) =1a(6) =1a(7) =36a(8) =36a(9) =1a(10) =1a(11) =560a(12) =1820a(13) =560a(14) =1a(15) =1a(16) =12650a(17) =177100a(18) =177100a(19) =12650a(20) =1a(21) =1a(22) =376992a(23) =30260340a(24) =94143280a(25) =30260340a(26) =376992a(27) =1a(28) =1a(29) =13983816