a(n) = Sum_{k=1..n} Fibonacci(k*(n-k)).

Terms

a(0) =0a(1) =1a(2) =2a(3) =7a(4) =22a(5) =86a(6) =414a(7) =2521a(8) =19494a(9) =191695a(10) =2397716a(11) =38148444a(12) =772057396a(13) =19875413009a(14) =650843469738