A381577 - cp's OEIS frontend

A381577 Unique sequence of 0's, 1's, and 2's such that for any terms x and y with x < y, the subsequence of x's and y's becomes the Thue-Morse sequence after substitution x -> 0, y -> 1.

n	a(n)
0	0
1	1
2	2
3	2
4	1
5	0
6	2
7	1
8	0
9	0
10	1
11	2
12	2
13	1
14	0
15	0
16	1
17	2
18	0
19	1
20	2
21	2
22	1
23	0
24	2
25	1
26	0
27	0
28	1
29	2
30	0
31	1
32	2
33	2
34	1
35	0
36	0
37	1
38	2
39	2
40	1
41	0
42	2
43	1
44	0
45	0
46	1
47	2
48	2
49	1
50	0
51	0
52	1
53	2
54	0
55	1
56	2
57	2
58	1
59	0
60	0
61	1
62	2
63	2
64	1
65	0
66	2
67	1
68	0
69	0
70	1
71	2
72	0
73	1
74	2
75	2
76	1
77	0
78	2
79	1
80	0
81	0
82	1
83	2
84	2
85	1
86	0

[0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0]

cp's OEIS Frontend

A381577 Unique sequence of 0's, 1's, and 2's such that for any terms x and y with x < y, the subsequence of x's and y's becomes the Thue-Morse sequence after substitution x -> 0, y -> 1.

Table of values

List of values

n	a(n)
0	0
1	1
2	2
3	2
4	1
5	0
6	2
7	1
8	0
9	0
10	1
11	2
12	2
13	1
14	0
15	0
16	1
17	2
18	0
19	1
20	2
21	2
22	1
23	0
24	2
25	1
26	0
27	0
28	1
29	2
30	0
31	1
32	2
33	2
34	1
35	0
36	0
37	1
38	2
39	2
40	1
41	0
42	2
43	1
44	0
45	0
46	1
47	2
48	2
49	1
50	0
51	0
52	1
53	2
54	0
55	1
56	2
57	2
58	1
59	0
60	0
61	1
62	2
63	2
64	1
65	0
66	2
67	1
68	0
69	0
70	1
71	2
72	0
73	1
74	2
75	2
76	1
77	0
78	2
79	1
80	0
81	0
82	1
83	2
84	2
85	1
86	0

n	a(n)
0	0
1	1
2	2
3	2
4	1
5	0
6	2
7	1
8	0
9	0
10	1
11	2
12	2
13	1
14	0
15	0
16	1
17	2
18	0
19	1
20	2
21	2
22	1
23	0
24	2
25	1
26	0
27	0
28	1
29	2
30	0
31	1
32	2
33	2
34	1
35	0
36	0
37	1
38	2
39	2
40	1
41	0
42	2
43	1
44	0
45	0
46	1
47	2
48	2
49	1
50	0
51	0
52	1
53	2
54	0
55	1
56	2
57	2
58	1
59	0
60	0
61	1
62	2
63	2
64	1
65	0
66	2
67	1
68	0
69	0
70	1
71	2
72	0
73	1
74	2
75	2
76	1
77	0
78	2
79	1
80	0
81	0
82	1
83	2
84	2
85	1
86	0

n	a(n)
0	0
1	1
2	2
3	2
4	1
5	0
6	2
7	1
8	0
9	0
10	1
11	2
12	2
13	1
14	0
15	0
16	1
17	2
18	0
19	1
20	2
21	2
22	1
23	0
24	2
25	1
26	0
27	0
28	1
29	2
30	0
31	1
32	2
33	2
34	1
35	0
36	0
37	1
38	2
39	2
40	1
41	0
42	2
43	1
44	0
45	0
46	1
47	2
48	2
49	1
50	0
51	0
52	1
53	2
54	0
55	1
56	2
57	2
58	1
59	0
60	0
61	1
62	2
63	2
64	1
65	0
66	2
67	1
68	0
69	0
70	1
71	2
72	0
73	1
74	2
75	2
76	1
77	0
78	2
79	1
80	0
81	0
82	1
83	2
84	2
85	1
86	0