Number of tilings of an 8 X n rectangle using integer-sided rectangular tiles of area 8.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =9a(5) =16a(6) =35a(7) =65a(8) =250a(9) =495a(10) =1209a(11) =2412a(12) =6510a(13) =13707a(14) =32467a(15) =68285a(16) =176843a(17) =387518a(18) =926118a(19) =2022259a(20) =4928293a(21) =11009067a(22) =25938745a(23) =57797488a(24) =137808762a(25) =311753120a(26) =730878789a(27) =1651849769a(28) =3880235364a(29) =8842052707