T(n,k)=Number of n X n 0..k arrays with row sums equal and no column sum equal to the previous.

Terms

a(0) =2a(1) =3a(2) =2a(3) =4a(4) =10a(5) =38a(6) =5a(7) =28a(8) =624a(9) =838a(10) =6a(11) =60a(12) =4740a(13) =173860a(14) =75302a(15) =7a(16) =110a(17) =23036a(18) =7788648a(19) =421158558a(20) =27842760a(21) =8a(22) =182a(23) =83994a(24) =147823100a(25) =189412482924a(27) =37121438930a(28) =9a(29) =280a(30) =250668