T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 000 and 101 in rows and columns.

Terms

a(0) =98a(1) =253a(2) =253a(3) =621a(4) =787a(5) =621a(6) =1575a(7) =2237a(8) =2237a(9) =1575a(10) =4000a(11) =6615a(12) =7558a(13) =6615a(14) =4000a(15) =10057a(16) =19723a(17) =26528a(18) =26528a(19) =19723a(20) =10057a(21) =25384a(22) =57699a(23) =92748a(24) =112334a(25) =92748a(26) =57699a(27) =25384a(28) =64140a(29) =169561