A187180 - cp's OEIS frontend

A187180 Parse the infinite string 0101010101... into distinct phrases 0, 1, 01, 010, 10, ...; a(n) = length of n-th phrase.

n	a(n)
1	1
2	1
3	2
4	3
5	2
6	3
7	4
8	5
9	4
10	5
11	6
12	7
13	6
14	7
15	8
16	9
17	8
18	9
19	10
20	11
21	10
22	11
23	12
24	13
25	12
26	13
27	14
28	15
29	14
30	15
31	16
32	17
33	16
34	17
35	18
36	19
37	18
38	19
39	20
40	21
41	20
42	21
43	22
44	23
45	22
46	23
47	24
48	25
49	24
50	25
51	26
52	27
53	26
54	27
55	28
56	29
57	28
58	29
59	30
60	31
61	30
62	31
63	32
64	33
65	32
66	33
67	34
68	35
69	34
70	35
71	36
72	37
73	36
74	37
75	38
76	39
77	38
78	39
79	40
80	41
81	40
82	41
83	42
84	43
85	42
86	43
87	44
88	45
89	44
90	45
91	46
92	47
93	46
94	47
95	48
96	49
97	48
98	49
99	50
100	51
101	50
102	51
103	52
104	53
105	52
106	53
107	54
108	55
109	54
110	55
111	56
112	57
113	56
114	57
115	58
116	59
117	58
118	59
119	60
120	61

[1, 1, 2, 3, 2, 3, 4, 5, 4, 5, 6, 7, 6, 7, 8, 9, 8, 9, 10, 11, 10, 11, 12, 13, 12, 13, 14, 15, 14, 15, 16, 17, 16, 17, 18, 19, 18, 19, 20, 21, 20, 21, 22, 23, 22, 23, 24, 25, 24, 25, 26, 27, 26, 27, 28, 29, 28, 29, 30, 31, 30, 31, 32, 33, 32, 33, 34, 35, 34, 35, 36, 37, 36, 37, 38, 39, 38, 39, 40, 41, 40, 41, 42, 43, 42, 43, 44, 45, 44, 45, 46, 47, 46, 47, 48, 49, 48, 49, 50, 51, 50, 51, 52, 53, 52, 53, 54, 55, 54, 55, 56, 57, 56, 57, 58, 59, 58, 59, 60, 61]

cp's OEIS Frontend

A187180 Parse the infinite string 0101010101... into distinct phrases 0, 1, 01, 010, 10, ...; a(n) = length of n-th phrase.

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	3
5	2
6	3
7	4
8	5
9	4
10	5
11	6
12	7
13	6
14	7
15	8
16	9
17	8
18	9
19	10
20	11
21	10
22	11
23	12
24	13
25	12
26	13
27	14
28	15
29	14
30	15
31	16
32	17
33	16
34	17
35	18
36	19
37	18
38	19
39	20
40	21
41	20
42	21
43	22
44	23
45	22
46	23
47	24
48	25
49	24
50	25
51	26
52	27
53	26
54	27
55	28
56	29
57	28
58	29
59	30
60	31
61	30
62	31
63	32
64	33
65	32
66	33
67	34
68	35
69	34
70	35
71	36
72	37
73	36
74	37
75	38
76	39
77	38
78	39
79	40
80	41
81	40
82	41
83	42
84	43
85	42
86	43
87	44
88	45
89	44
90	45
91	46
92	47
93	46
94	47
95	48
96	49
97	48
98	49
99	50
100	51
101	50
102	51
103	52
104	53
105	52
106	53
107	54
108	55
109	54
110	55
111	56
112	57
113	56
114	57
115	58
116	59
117	58
118	59
119	60
120	61

n	a(n)
1	1
2	1
3	2
4	3
5	2
6	3
7	4
8	5
9	4
10	5
11	6
12	7
13	6
14	7
15	8
16	9
17	8
18	9
19	10
20	11
21	10
22	11
23	12
24	13
25	12
26	13
27	14
28	15
29	14
30	15
31	16
32	17
33	16
34	17
35	18
36	19
37	18
38	19
39	20
40	21
41	20
42	21
43	22
44	23
45	22
46	23
47	24
48	25
49	24
50	25
51	26
52	27
53	26
54	27
55	28
56	29
57	28
58	29
59	30
60	31
61	30
62	31
63	32
64	33
65	32
66	33
67	34
68	35
69	34
70	35
71	36
72	37
73	36
74	37
75	38
76	39
77	38
78	39
79	40
80	41
81	40
82	41
83	42
84	43
85	42
86	43
87	44
88	45
89	44
90	45
91	46
92	47
93	46
94	47
95	48
96	49
97	48
98	49
99	50
100	51
101	50
102	51
103	52
104	53
105	52
106	53
107	54
108	55
109	54
110	55
111	56
112	57
113	56
114	57
115	58
116	59
117	58
118	59
119	60
120	61

n	a(n)
1	1
2	1
3	2
4	3
5	2
6	3
7	4
8	5
9	4
10	5
11	6
12	7
13	6
14	7
15	8
16	9
17	8
18	9
19	10
20	11
21	10
22	11
23	12
24	13
25	12
26	13
27	14
28	15
29	14
30	15
31	16
32	17
33	16
34	17
35	18
36	19
37	18
38	19
39	20
40	21
41	20
42	21
43	22
44	23
45	22
46	23
47	24
48	25
49	24
50	25
51	26
52	27
53	26
54	27
55	28
56	29
57	28
58	29
59	30
60	31
61	30
62	31
63	32
64	33
65	32
66	33
67	34
68	35
69	34
70	35
71	36
72	37
73	36
74	37
75	38
76	39
77	38
78	39
79	40
80	41
81	40
82	41
83	42
84	43
85	42
86	43
87	44
88	45
89	44
90	45
91	46
92	47
93	46
94	47
95	48
96	49
97	48
98	49
99	50
100	51
101	50
102	51
103	52
104	53
105	52
106	53
107	54
108	55
109	54
110	55
111	56
112	57
113	56
114	57
115	58
116	59
117	58
118	59
119	60
120	61