a(n) = A010062(n) written in binary: a(n+1) = a(n) + hammingweight(a(n)) in binary.

Terms

a(0) =1a(1) =10a(2) =11a(3) =101a(4) =111a(5) =1010a(6) =1100a(7) =1110a(8) =10001a(9) =10011a(10) =10110a(11) =11001a(12) =11100a(13) =11111a(14) =100100a(15) =100110a(16) =101001a(17) =101100a(18) =101111a(19) =110100a(20) =110111a(21) =111100a(22) =1000000a(23) =1000001a(24) =1000011a(25) =1000110a(26) =1001001a(27) =1001100a(28) =1001111a(29) =1010100