A323888 - cp's OEIS frontend

A323888 Lexicographically earliest sequence such that for all i, j, a(i) = a(j) => f(i) = f(j) where f(n) = [A032742(n),A302042(n)] for all n > 1, with f(1) = 0.

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

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

cp's OEIS Frontend

A323888 Lexicographically earliest sequence such that for all i, j, a(i) = a(j) => f(i) = f(j) where f(n) = [A032742(n),A302042(n)] for all n > 1, with f(1) = 0.

Table of values

List of values

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

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

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