G.f.: Sum_{n>=1} Fibonacci(n+1) * x^n / (1 - x^n).

Terms

a(0) =1a(1) =3a(2) =4a(3) =8a(4) =9a(5) =19a(6) =22a(7) =42a(8) =59a(9) =100a(10) =145a(11) =257a(12) =378a(13) =634a(14) =999a(15) =1639a(16) =2585a(17) =4255a(18) =6766a(19) =11051a(20) =17736a(21) =28804a(22) =46369a(23) =75316a(24) =121402a(25) =196798a(26) =317870a(27) =514868a(28) =832041a(29) =1347372