A365467 - cp's OEIS frontend

A365467 Lexicographically earliest infinite sequence such that a(i) = a(j) => A336467(i) = A336467(j) and A336467(A163511(i)) = A336467(A163511(j)) for all i, j >= 1, where A336467 is fully multiplicative with a(2) = 1 and a(p) = oddpart(p+1) for odd primes p.

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

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

cp's OEIS Frontend

A365467 Lexicographically earliest infinite sequence such that a(i) = a(j) => A336467(i) = A336467(j) and A336467(A163511(i)) = A336467(A163511(j)) for all i, j >= 1, where A336467 is fully multiplicative with a(2) = 1 and a(p) = oddpart(p+1) for odd primes p.

Table of values

List of values

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

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

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