a(n) = F(floor( (n+3)/2 )) * L(floor( (n+2)/2 )) where F=Fibonacci and L=Lucas numbers.

Terms

a(0) =2a(1) =2a(2) =1a(3) =2a(4) =6a(5) =9a(6) =12a(7) =20a(8) =35a(9) =56a(10) =88a(11) =143a(12) =234a(13) =378a(14) =609a(15) =986a(16) =1598a(17) =2585a(18) =4180a(19) =6764a(20) =10947a(21) =17712a(22) =28656a(23) =46367a(24) =75026a(25) =121394a(26) =196417a(27) =317810a(28) =514230a(29) =832041