A323157 - cp's OEIS frontend

A323157 Lexicographically earliest sequence such that for all i, j, a(i) = a(j) => f(i) = f(j), where f(n) = A000265(A323155(n)) for all n, except with f(1) = 0.

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

[1, 2, 2, 3, 2, 4, 2, 5, 2, 2, 2, 6, 2, 7, 2, 5, 2, 8, 2, 9, 2, 2, 2, 10, 2, 2, 2, 11, 2, 12, 2, 13, 2, 2, 2, 14, 2, 15, 2, 16, 2, 17, 2, 18, 2, 2, 2, 19, 2, 2, 2, 3, 2, 20, 2, 21, 2, 2, 2, 22, 2, 23, 2, 13, 2, 4, 2, 24, 2, 7, 2, 25, 2, 26, 2, 27, 2, 4, 2, 28, 2, 2, 2, 29, 2, 2, 2, 30, 2, 31, 2, 3, 2, 2, 2, 32, 2, 33, 2, 9, 2, 34, 2, 35, 2]

cp's OEIS Frontend

A323157 Lexicographically earliest sequence such that for all i, j, a(i) = a(j) => f(i) = f(j), where f(n) = A000265(A323155(n)) for all n, except 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	2
10	2
11	2
12	6
13	2
14	7
15	2
16	5
17	2
18	8
19	2
20	9
21	2
22	2
23	2
24	10
25	2
26	2
27	2
28	11
29	2
30	12
31	2
32	13
33	2
34	2
35	2
36	14
37	2
38	15
39	2
40	16
41	2
42	17
43	2
44	18
45	2
46	2
47	2
48	19
49	2
50	2
51	2
52	3
53	2
54	20
55	2
56	21
57	2
58	2
59	2
60	22
61	2
62	23
63	2
64	13
65	2
66	4
67	2
68	24
69	2
70	7
71	2
72	25
73	2
74	26
75	2
76	27
77	2
78	4
79	2
80	28
81	2
82	2
83	2
84	29
85	2
86	2
87	2
88	30
89	2
90	31
91	2
92	3
93	2
94	2
95	2
96	32
97	2
98	33
99	2
100	9
101	2
102	34
103	2
104	35
105	2

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

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