a(n) = Fibonacci(n)*n*binomial(2*n,n)/(n+1).

Terms

a(0) =0a(1) =1a(2) =4a(3) =30a(4) =168a(5) =1050a(6) =6336a(7) =39039a(8) =240240a(9) =1487772a(10) =9237800a(11) =57551494a(12) =359444736a(13) =2250244100a(14) =14115694320a(15) =88707831750a(16) =558368324640