T(n,k)=Number of nXk binary arrays without the pattern 0 0 0 antidiagonally or horizontally.

Terms

a(0) =2a(1) =4a(2) =4a(3) =7a(4) =16a(5) =8a(6) =13a(7) =49a(8) =64a(9) =16a(10) =24a(11) =169a(12) =316a(13) =256a(14) =32a(15) =44a(16) =576a(17) =1901a(18) =2032a(19) =1024a(20) =64a(21) =81a(22) =1936a(23) =11332a(24) =21937a(25) =13045a(26) =4096a(27) =128a(28) =149a(29) =6561