T(n,k)=Number of n X n 0..k matrices whose square is also a 0..k matrix.

Terms

a(0) =2a(1) =2a(2) =11a(3) =2a(4) =24a(5) =172a(6) =3a(7) =36a(8) =1003a(9) =6327a(10) =3a(11) =72a(12) =2546a(13) =120133a(14) =474286a(15) =3a(16) =92a(17) =8168a(18) =604639a(19) =35799856a(20) =67147431a(21) =3a(22) =126a(23) =14030a(24) =3510112a(25) =421195466a(26) =24651985100a(27) =17080038508a(28) =3a(29) =148