Number of tilings of a 6 X n rectangle using integer-sided square tiles of area > 1.

Terms

a(0) =1a(1) =0a(2) =1a(3) =1a(4) =3a(5) =2a(6) =7a(7) =7a(8) =16a(9) =19a(10) =40a(11) =51a(12) =98a(13) =136a(14) =245a(15) =355a(16) =617a(17) =923a(18) =1560a(19) =2386a(20) =3962a(21) =6147a(22) =10085a(23) =15804a(24) =25716a(25) =40569a(26) =65652a(27) =104040a(28) =167738a(29) =266634