a(n) = Fibbinary(2^n).

Terms

a(0) =1a(1) =2a(2) =5a(3) =16a(4) =36a(5) =84a(6) =273a(7) =648a(8) =2114a(9) =4757a(10) =16516a(11) =37161a(12) =87045a(13) =282896a(14) =673924a(15) =2184233a(16) =5263877a(17) =17107472a(18) =38830244a(19) =134554132a(20) =303080705a(21) =707272770a(22) =2300725397a(23) =5457925252a(24) =17805431433a(25) =42970665029a(26) =139654661284a(27) =314223120404