For some reason the question of how sequences will be enumerated is really interesting to me, so I wrote a script to compute a couple
1 -> []
2 -> [0]
3 -> [0, 0]
4 -> [1]
5 -> [0, 0, 0]
6 -> [1, 0]
7 -> [0, 0, 0, 0]
8 -> [2]
9 -> [0, 1]
10 -> [1, 0, 0]
11 -> [0, 0, 0, 0, 0]
12 -> [2, 0]
13 -> [0, 0, 0, 0, 0, 0]
14 -> [1, 0, 0, 0]
15 -> [0, 1, 0]
16 -> [3]
17 -> [0, 0, 0, 0, 0, 0, 0]
18 -> [1, 1]
19 -> [0, 0, 0, 0, 0, 0, 0, 0]
20 -> [2, 0, 0]
21 -> [0, 1, 0, 0]
22 -> [1, 0, 0, 0, 0]
23 -> [0, 0, 0, 0, 0, 0, 0, 0, 0]
24 -> [3, 0]
25 -> [0, 0, 1]
26 -> [1, 0, 0, 0, 0, 0]
27 -> [0, 2]
28 -> [2, 0, 0, 0]
29 -> [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
30 -> [1, 1, 0]
31 -> [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
32 -> [4]
33 -> [0, 1, 0, 0, 0]
34 -> [1, 0, 0, 0, 0, 0, 0]
35 -> [0, 0, 1, 0]
36 -> [2, 1]
37 -> [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
38 -> [1, 0, 0, 0, 0, 0, 0, 0]
39 -> [0, 1, 0, 0, 0, 0]
40 -> [3, 0, 0]
41 -> [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
42 -> [1, 1, 0, 0]
43 -> [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
44 -> [2, 0, 0, 0, 0]
45 -> [0, 2, 0]
46 -> [1, 0, 0, 0, 0, 0, 0, 0, 0]
47 -> [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
48 -> [4, 0]
49 -> [0, 0, 0, 1]
50 -> [1, 0, 1]
51 -> [0, 1, 0, 0, 0, 0, 0]
52 -> [2, 0, 0, 0, 0, 0]
53 -> [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
54 -> [1, 2]
55 -> [0, 0, 1, 0, 0]
56 -> [3, 0, 0, 0]
57 -> [0, 1, 0, 0, 0, 0, 0, 0]
58 -> [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
59 -> [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
60 -> [2, 1, 0]
61 -> [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
62 -> [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
63 -> [0, 2, 0, 0]
64 -> [5]
65 -> [0, 0, 1, 0, 0, 0]
66 -> [1, 1, 0, 0, 0]
67 -> [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
68 -> [2, 0, 0, 0, 0, 0, 0]
69 -> [0, 1, 0, 0, 0, 0, 0, 0, 0]
70 -> [1, 0, 1, 0]
71 -> [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
72 -> [3, 1]
73 -> [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
74 -> [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
75 -> [0, 1, 1]
76 -> [2, 0, 0, 0, 0, 0, 0, 0]
77 -> [0, 0, 0, 1, 0]
78 -> [1, 1, 0, 0, 0, 0]
79 -> [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
80 -> [4, 0, 0]
81 -> [0, 3]
82 -> [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
83 -> [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
84 -> [2, 1, 0, 0]
85 -> [0, 0, 1, 0, 0, 0, 0]
86 -> [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
87 -> [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
88 -> [3, 0, 0, 0, 0]
89 -> [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
90 -> [1, 2, 0]
91 -> [0, 0, 0, 1, 0, 0]
92 -> [2, 0, 0, 0, 0, 0, 0, 0, 0]
93 -> [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
94 -> [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
95 -> [0, 0, 1, 0, 0, 0, 0, 0]
96 -> [5, 0]
97 -> [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
98 -> [1, 0, 0, 1]