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

Terms

a(0) =1a(1) =0a(2) =0a(3) =0a(4) =0a(5) =4a(6) =6a(7) =8a(8) =6a(9) =8a(10) =54a(11) =112a(12) =182a(13) =232a(14) =404a(15) =930a(16) =2054a(17) =3880a(18) =6304a(19) =10696a(20) =20696a(21) =42396a(22) =81554a(23) =146240a(24) =259534a(25) =480084a(26) =924860a(27) =1768856a(28) =3284468a(29) =5992798