Number of tilings of a 5 X n rectangle using n pentominoes of shapes T, N, X.

Terms

a(0) =1a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =0a(7) =0a(8) =0a(9) =0a(10) =2a(11) =0a(12) =0a(13) =0a(14) =2a(15) =0a(16) =2a(17) =2a(18) =8a(19) =0a(20) =18a(21) =6a(22) =16a(23) =6a(24) =48a(25) =22a(26) =74a(27) =48a(28) =182a(29) =74