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

Terms

a(0) =1a(1) =0a(2) =0a(3) =1a(4) =2a(5) =0a(6) =1a(7) =4a(8) =4a(9) =1a(10) =14a(11) =12a(12) =17a(13) =32a(14) =64a(15) =81a(16) =138a(17) =272a(18) =489a(19) =764a(20) =1548a(21) =2809a(22) =5062a(23) =9420a(24) =17721a(25) =32712a(26) =60992a(27) =114105a(28) =213890a(29) =398784