Number T(n,k) of tilings of a 2k X n rectangle using dominoes and 2 X 2 tiles.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =1a(6) =1a(7) =1a(8) =3a(9) =1a(10) =1a(11) =1a(12) =11a(13) =5a(14) =1a(15) =1a(16) =1a(17) =43a(18) =29a(19) =11a(20) =1a(21) =1a(22) =1a(23) =171a(24) =173a(25) =165a(26) =21a(27) =1a(28) =1a(29) =1