Binomial transform of Fibonacci(2n-1) (A001519).

Terms

a(0) =1a(1) =2a(2) =5a(3) =15a(4) =50a(5) =175a(6) =625a(7) =2250a(8) =8125a(9) =29375a(10) =106250a(11) =384375a(12) =1390625a(13) =5031250a(14) =18203125a(15) =65859375a(16) =238281250a(17) =862109375a(18) =3119140625a(19) =11285156250a(20) =40830078125a(21) =147724609375a(22) =534472656250