Sum_{i=0..n} (C(n,i) mod 2)*Fibonacci(2i+3) = FL(n+3)Product(L(2^i)^bit(n,i),i=0..).

Terms

a(0) =2a(1) =7a(2) =15a(3) =54a(4) =91a(5) =329a(6) =714a(7) =2583a(8) =4183a(9) =15134a(10) =32853a(11) =118863a(12) =200690a(13) =726103a(14) =1576239a(15) =5702886a(16) =9227467a(17) =33385289a(18) =72473466a(19) =262211463a(20) =442721993a(21) =1601783218a(22) =3477183675a(23) =12580568721a(24) =20374242722a(25) =73714702663