A Thue-Morse convolution.

Terms

a(0) =0a(1) =1a(2) =11a(3) =110a(4) =1101a(5) =11010a(6) =110100a(7) =1101001a(8) =11010011a(9) =110100110a(10) =1101001100a(11) =11010011001a(12) =110100110010