a(n) = Fibonacci(n)^3 + (-1)^n*Fibonacci(n+2).

Terms

a(0) =1a(1) =-1a(2) =4a(3) =3a(4) =35a(5) =112a(6) =533a(7) =2163a(8) =9316a(9) =39215a(10) =166519a(11) =704736a(12) =2986361a(13) =12648727a(14) =53583620a(15) =226979403a(16) =961507387a(17) =4072998992a(18) =17253519469a(19) =73087050795a(20) =309601764836