T(n,k)=Number of nXk binary arrays with every 1 immediately preceded by 0 0 to the left or above.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =1a(5) =2a(6) =3a(7) =4a(8) =4a(9) =3a(10) =4a(11) =9a(12) =23a(13) =9a(14) =4a(15) =6a(16) =16a(17) =90a(18) =90a(19) =16a(20) =6a(21) =9a(22) =36a(23) =296a(24) =592a(25) =296a(26) =36a(27) =9a(28) =13a(29) =81