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

Terms

a(0) =1a(1) =2a(2) =8a(3) =33a(4) =140a(5) =592a(6) =2509a(7) =10626a(8) =45016a(9) =190685a(10) =807764a(11) =3421728a(12) =14494697a(13) =61400482a(14) =260096680a(15) =1101787113a(16) =4667245276a(17) =19770767984a(18) =83750317589a(19) =354772037730