A326202 - cp's OEIS frontend

A326202 Lexicographically earliest sequence such that for all i, j, a(i) = a(j) => f(i) = f(j), where f(n) = 0 if n > 2 and gcd(n,sigma(n)) = 1, with f(n) = n for all other numbers.

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

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

cp's OEIS Frontend

A326202 Lexicographically earliest sequence such that for all i, j, a(i) = a(j) => f(i) = f(j), where f(n) = 0 if n > 2 and gcd(n,sigma(n)) = 1, with f(n) = n for all other numbers.

Table of values

List of values

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

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

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