a(n) = Sum_{k=0..n} binomial(n+2*k+5,n-k) * Fibonacci(k+1).

Terms

a(0) =1a(1) =7a(2) =32a(3) =128a(4) =497a(5) =1933a(6) =7555a(7) =29592a(8) =115952a(9) =454291a(10) =1779690a(11) =6971704a(12) =27310656a(13) =106985958a(14) =419104500a(15) =1641791887a(16) =6431523781a(17) =25194724792a(18) =98697315760a(19) =386634906669