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

Terms

a(0) =1a(1) =0a(2) =2a(3) =1a(4) =12a(5) =10a(6) =59a(7) =52a(8) =276a(9) =349a(10) =1404a(11) =1984a(12) =7019a(13) =11148a(14) =35686a(15) =62181a(16) =182776a(17) =339350a(18) =942507a(19) =1841208a(20) =4887096a(21) =9921685a(22) =25442304a(23) =53190380a(24) =132928715a(25) =284198328a(26) =696276202a(27) =1514363221a(28) =3654567764a(29) =8053235650