G.f. is 1/F, where x*F is g.f. for Fibonacci word (A003849).

Terms

a(0) =1a(1) =0a(2) =0a(3) =-1a(4) =0a(5) =-1a(6) =1a(7) =0a(8) =1a(9) =-1a(10) =1a(11) =-2a(12) =1a(13) =-2a(14) =3a(15) =-2a(16) =4a(17) =-4a(18) =3a(19) =-6a(20) =6a(21) =-6a(22) =9a(23) =-8a(24) =10a(25) =-14a(26) =13a(27) =-17a(28) =20a(29) =-20