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

Terms

a(0) =1a(1) =0a(2) =0a(3) =0a(4) =2a(5) =0a(6) =2a(7) =2a(8) =4a(9) =2a(10) =10a(11) =8a(12) =14a(13) =18a(14) =36a(15) =34a(16) =66a(17) =88a(18) =136a(19) =170a(20) =292a(21) =382a(22) =578a(23) =818a(24) =1244a(25) =1692a(26) =2576a(27) =3676a(28) =5400a(29) =7654