Roots of 'non-palindromic cubes remaining cubic when written backwards'.

Terms

a(0) =1011a(1) =1101a(2) =10011a(3) =11001a(4) =100011a(5) =100101a(6) =100111a(7) =101001a(8) =101011a(9) =110001a(10) =110101a(11) =111001a(12) =1000011a(13) =1000101a(14) =1000111a(15) =1001011a(16) =1001101a(17) =1010001a(18) =1010011a(19) =1011001a(20) =1100001a(21) =1100101a(22) =1101001a(23) =1110001a(24) =10000011a(25) =10000101a(26) =10000111a(27) =10001001a(28) =10001011a(29) =10001101