A080884 Sum of (0,1) versions of Thue-Morse word (A010060) and Fibonacci word (A003849).

0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2