A324399 - cp's OEIS frontend

A324399 Lexicographically earliest sequence such that a(i) = a(j) => f(i) = f(j) for all i, j >= 1, where f(n) = A000265(n) for all other numbers, except that f(n) = 0 if n is an odd prime, and f(1) = -1 and f(2) = -2.

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

[1, 2, 3, 4, 3, 5, 3, 4, 6, 7, 3, 5, 3, 8, 9, 4, 3, 6, 3, 7, 10, 11, 3, 5, 12, 13, 14, 8, 3, 9, 3, 4, 15, 16, 17, 6, 3, 18, 19, 7, 3, 10, 3, 11, 20, 21, 3, 5, 22, 12, 23, 13, 3, 14, 24, 8, 25, 26, 3, 9, 3, 27, 28, 4, 29, 15, 3, 16, 30, 17, 3, 6, 3, 31, 32, 18, 33, 19, 3, 7, 34, 35, 3, 10, 36, 37, 38, 11, 3, 20, 39, 21, 40, 41, 42, 5, 3, 22, 43, 12, 3, 23, 3, 13, 44]

cp's OEIS Frontend

A324399 Lexicographically earliest sequence such that a(i) = a(j) => f(i) = f(j) for all i, j >= 1, where f(n) = A000265(n) for all other numbers, except that f(n) = 0 if n is an odd prime, and f(1) = -1 and f(2) = -2.

Table of values

List of values

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

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

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