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

A277287

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

Terms

    a(0) =1a(1) =3a(2) =10a(3) =36a(4) =133a(5) =499a(6) =1891a(7) =7217a(8) =27690a(9) =106680a(10) =412368a(11) =1598358a(12) =6209542a(13) =24171004a(14) =94246202a(15) =368022472a(16) =1438965885a(17) =5632870627a(18) =22072920103a(19) =86575738469a(20) =339860843589

External references