T(n,k)=Number of nXk binary matrices with no 2X2 block having four 1's.

Terms

a(0) =2a(1) =4a(2) =4a(3) =8a(4) =15a(5) =8a(6) =16a(7) =57a(8) =57a(9) =16a(10) =32a(11) =216a(12) =417a(13) =216a(14) =32a(15) =64a(16) =819a(17) =3032a(18) =3032a(19) =819a(20) =64a(21) =128a(22) =3105a(23) =22077a(24) =42176a(25) =22077a(26) =3105a(27) =128a(28) =256a(29) =11772