Array read by antidiagonals: T(m,n) is the number of induced paths in the rook graph K_m X K_n.

Terms

a(0) =0a(1) =1a(2) =1a(3) =3a(4) =8a(5) =3a(6) =6a(7) =27a(8) =27a(9) =6a(10) =10a(11) =64a(12) =126a(13) =64a(14) =10a(15) =15a(16) =125a(17) =426a(18) =426a(19) =125a(20) =15a(21) =21a(22) =216a(23) =1125a(24) =2208a(25) =1125a(26) =216a(27) =21a(28) =28a(29) =343