A365624 - cp's OEIS frontend

A365624 a(n) is the length of the longest word w in the Thue-Morse sequence (A010060) in which every length-n factor of w is unique.

n	a(n)
1	2
2	5
3	8
4	12
5	16
6	18
7	24
8	26
9	32
10	34
11	36
12	38
13	48
14	50
15	52
16	54
17	64
18	66
19	68
20	70
21	72
22	74
23	76
24	78
25	96
26	98
27	100
28	102
29	104
30	106
31	108
32	110
33	128
34	130
35	132
36	134
37	136
38	138
39	140
40	142
41	144
42	146
43	148
44	150
45	152
46	154
47	156
48	158
49	192
50	194
51	196
52	198
53	200
54	202
55	204
56	206

[2, 5, 8, 12, 16, 18, 24, 26, 32, 34, 36, 38, 48, 50, 52, 54, 64, 66, 68, 70, 72, 74, 76, 78, 96, 98, 100, 102, 104, 106, 108, 110, 128, 130, 132, 134, 136, 138, 140, 142, 144, 146, 148, 150, 152, 154, 156, 158, 192, 194, 196, 198, 200, 202, 204, 206]

cp's OEIS Frontend

A365624 a(n) is the length of the longest word w in the Thue-Morse sequence (A010060) in which every length-n factor of w is unique.

Table of values

List of values

n	a(n)
1	2
2	5
3	8
4	12
5	16
6	18
7	24
8	26
9	32
10	34
11	36
12	38
13	48
14	50
15	52
16	54
17	64
18	66
19	68
20	70
21	72
22	74
23	76
24	78
25	96
26	98
27	100
28	102
29	104
30	106
31	108
32	110
33	128
34	130
35	132
36	134
37	136
38	138
39	140
40	142
41	144
42	146
43	148
44	150
45	152
46	154
47	156
48	158
49	192
50	194
51	196
52	198
53	200
54	202
55	204
56	206

n	a(n)
1	2
2	5
3	8
4	12
5	16
6	18
7	24
8	26
9	32
10	34
11	36
12	38
13	48
14	50
15	52
16	54
17	64
18	66
19	68
20	70
21	72
22	74
23	76
24	78
25	96
26	98
27	100
28	102
29	104
30	106
31	108
32	110
33	128
34	130
35	132
36	134
37	136
38	138
39	140
40	142
41	144
42	146
43	148
44	150
45	152
46	154
47	156
48	158
49	192
50	194
51	196
52	198
53	200
54	202
55	204
56	206

n	a(n)
1	2
2	5
3	8
4	12
5	16
6	18
7	24
8	26
9	32
10	34
11	36
12	38
13	48
14	50
15	52
16	54
17	64
18	66
19	68
20	70
21	72
22	74
23	76
24	78
25	96
26	98
27	100
28	102
29	104
30	106
31	108
32	110
33	128
34	130
35	132
36	134
37	136
38	138
39	140
40	142
41	144
42	146
43	148
44	150
45	152
46	154
47	156
48	158
49	192
50	194
51	196
52	198
53	200
54	202
55	204
56	206