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

Terms

a(0) =1a(1) =0a(2) =2a(3) =1a(4) =16a(5) =10a(6) =59a(7) =60a(8) =330a(9) =397a(10) =1520a(11) =2218a(12) =7875a(13) =12820a(14) =39250a(15) =70045a(16) =202168a(17) =384866a(18) =1038051a(19) =2073580a(20) =5385754a(21) =11156701a(22) =28015232a(23) =59580154a(24) =146333795a(25) =317517636a(26) =766142242a(27) =1686735709a(28) =4019319048a(29) =8946988370