T(n,k)=Number of nXk 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 antidiagonally.

Terms

a(0) =3a(1) =8a(2) =8a(3) =22a(4) =38a(5) =22a(6) =60a(7) =184a(8) =184a(9) =60a(10) =164a(11) =869a(12) =1610a(13) =869a(14) =164a(15) =448a(16) =4144a(17) =13937a(18) =13937a(19) =4144a(20) =448a(21) =1224a(22) =19675a(23) =122497a(24) =222990a(25) =122497a(26) =19675a(27) =1224a(28) =3344a(29) =93589