Number of tilings of a 12 X n rectangle using integer-sided square tiles of area > 1.

Terms

a(0) =1a(1) =0a(2) =1a(3) =1a(4) =13a(5) =4a(6) =98a(7) =57a(8) =511a(9) =499a(10) =3722a(11) =3845a(12) =24823a(13) =31696a(14) =164781a(15) =243930a(16) =1134938a(17) =1847197a(18) =7765162a(19) =13890389a(20) =53540736a(21) =102899049a(22) =371688482a(23) =756873240a(24) =2587867543a(25) =5533483651a(26) =18092417136a(27) =40238855115a(28) =126887317089a(29) =291501063966