A308182 - cp's OEIS frontend

A308182 Let S_n = prefix of length n of Thue-Morse sequence A010060; let P = longest palindromic suffix of S_n; a(n) = length of P if P occurs just once as a factor of S_n, otherwise a(n) = 0.

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

[1, 1, 2, 4, 3, 3, 2, 4, 0, 0, 6, 8, 10, 12, 14, 16, 6, 8, 10, 12, 6, 8, 10, 12, 0, 0, 6, 8, 10, 12, 14, 16, 0, 0, 0, 0, 0, 0, 0, 0, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 18, 20, 22, 24, 26, 28, 30, 32]

cp's OEIS Frontend

A308182 Let S_n = prefix of length n of Thue-Morse sequence A010060; let P = longest palindromic suffix of S_n; a(n) = length of P if P occurs just once as a factor of S_n, otherwise a(n) = 0.

Table of values

List of values

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

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

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