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

Terms

a(0) =1a(1) =0a(2) =0a(3) =1a(4) =4a(5) =0a(6) =9a(7) =8a(8) =24a(9) =17a(10) =78a(11) =64a(12) =227a(13) =212a(14) =664a(15) =699a(16) =2004a(17) =2220a(18) =6033a(19) =7196a(20) =18112a(21) =22859a(22) =54882a(23) =72560a(24) =166251a(25) =229284a(26) =505632a(27) =721421a(28) =1540532a(29) =2264668