a(33) (with appearances of binary expansions of 17..33 sorted in increasing order)
     1000010001100101001110101101111100000
17........10001...............................
18.............10010..........................
19..................10011.....................
20................10100.......................
21.......................10101................
22.........................10110..............
23............................10111...........
24.................................11000......
25............11001...........................
26......................11010.................
27...........................11011............
28................................11100.......
29.....................11101..................
30...............................11110........
31..............................11111.........
32..................................100000....
33...100001...................................

a(33) (with appearances of binary expansions of 17..33 sorted in order of appearance)
     1000010001100101001110101101111100000     (number of characters overlap with the substring above)
33...100001...................................
17........10001............................... (1) 
25............11001........................... (1)
18.............10010.......................... (4)
20................10100....................... (2)
19..................10011..................... (3)
29.....................11101.................. (2)
26......................11010................. (4)
21.......................10101................ (4)
22.........................10110.............. (3)
27...........................11011............ (3)
23............................10111........... (4)
31..............................11111......... (3)
30...............................11110........ (4)
28................................11100....... (4)
24.................................11000...... (4)
32..................................100000.... (4)

a(36) (with appearances of binary expansions of 19..36 sorted in increasing order)
      10000100010100011001001110101101111100000
19.......................10011.................
20.............10100...........................
21............................10101............
22..............................10110..........
23.................................10111.......
24......................................11000..
25...................11001.....................
26...........................11010.............
27................................11011........
28.....................................11100...
29..........................11101..............
30....................................11110....
31...................................11111.....
32.......................................100000
33....100001...................................
34.........100010..............................
35...............100011........................
36....................100100...................

a(36) (with appearances of binary expansions of 19..36 sorted in order of appearance)
      10000100010100011001001110101101111100000 (number of characters overlap with the substring above)
33....100001................................... 
34.........100010.............................. (1)
20.............10100........................... (2)
35...............100011........................ (3)
25...................11001..................... (2)
36....................100100................... (4)
19.......................10011................. (3)
29..........................11101.............. (2)
26...........................11010............. (4)
21............................10101............ (4)
22..............................10110.......... (3)
27................................11011........ (3)
23.................................10111....... (4)
31...................................11111..... (3)
30....................................11110.... (4)
28.....................................11100... (4)
24......................................11000.. (4)
32.......................................100000 (4)