Number of tilings of a 3 X n rectangle using integer-sided rectangular tiles of equal area.

Terms

a(0) =1a(1) =2a(2) =6a(3) =4a(4) =20a(5) =7a(6) =54a(7) =12a(8) =190a(9) =23a(10) =616a(11) =44a(12) =2266a(13) =91a(14) =8136a(15) =198a(16) =30214a(17) =409a(18) =111540a(19) =875a(20) =415601a(21) =1887a(22) =1546170a(23) =4026a(24) =5767198a(25) =8649a(26) =21503856a(27) =18583a(28) =80237366a(29) =39868