a(n) = Fibonacci(5*n)/5.

Terms

a(0) =0a(1) =1a(2) =11a(3) =122a(4) =1353a(5) =15005a(6) =166408a(7) =1845493a(8) =20466831a(9) =226980634a(10) =2517253805a(11) =27916772489a(12) =309601751184