Carryless binary square of n; also Moser-de Bruijn sequence written in binary.

Terms

a(0) =0a(1) =1a(2) =100a(3) =101a(4) =10000a(5) =10001a(6) =10100a(7) =10101a(8) =1000000a(9) =1000001a(10) =1000100a(11) =1000101a(12) =1010000a(13) =1010001a(14) =1010100a(15) =1010101a(16) =100000000a(17) =100000001a(18) =100000100a(19) =100000101a(20) =100010000a(21) =100010001a(22) =100010100a(23) =100010101a(24) =101000000a(25) =101000001