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

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =3a(5) =8a(6) =10a(7) =21a(8) =18a(9) =67a(10) =54a(11) =144a(12) =196a(13) =377a(14) =470a(15) =1077a(16) =1321a(17) =2584a(18) =3905a(19) =6765a(20) =10014a(21) =18173a(22) =27084a(23) =46368a(24) =73001a(25) =121448a(26) =191530a(27) =319827a(28) =505038a(29) =832040