Triangle T(n, k) = n! * binomial(n, k)^2 - n! + 1, read by rows.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =7a(5) =1a(6) =1a(7) =49a(8) =49a(9) =1a(10) =1a(11) =361a(12) =841a(13) =361a(14) =1a(15) =1a(16) =2881a(17) =11881a(18) =11881a(19) =2881a(20) =1a(21) =1a(22) =25201a(23) =161281a(24) =287281a(25) =161281a(26) =25201a(27) =1a(28) =1a(29) =241921