Number of tilings of a 5 X n rectangle using n pentominoes of shapes Y, U, X.

Terms

a(0) =1a(1) =0a(2) =0a(3) =1a(4) =0a(5) =2a(6) =1a(7) =0a(8) =4a(9) =5a(10) =38a(11) =22a(12) =13a(13) =90a(14) =144a(15) =457a(16) =408a(17) =386a(18) =1267a(19) =2230a(20) =5912a(21) =6481a(22) =7098a(23) =18896a(24) =35433a(25) =79634a(26) =101232a(27) =127501a(28) =288304a(29) =546652