a(n) = Sum_{k=0..n} binomial(n,k)^2*Fibonacci(k).

Terms

a(0) =0a(1) =1a(2) =5a(3) =20a(4) =87a(5) =405a(6) =1924a(7) =9225a(8) =44625a(9) =217528a(10) =1066725a(11) =5256087a(12) =26001000a(13) =129053365a(14) =642376709a(15) =3205403100a(16) =16029187391a(17) =80309053285a(18) =403040543420