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

Terms

a(0) =1a(1) =0a(2) =0a(3) =0a(4) =0a(5) =6a(6) =6a(7) =6a(8) =2a(9) =10a(10) =86a(11) =118a(12) =166a(13) =152a(14) =372a(15) =1394a(16) =2450a(17) =3866a(18) =4946a(19) =10160a(20) =26380a(21) =50770a(22) =86522a(23) =131632a(24) =251150a(25) =548436a(26) =1075036a(27) =1918294a(28) =3205242a(29) =5953962