A327162 - cp's OEIS frontend

A327162 Lexicographically earliest sequence such that for all i, j, a(i) = a(j) => f(i) = f(j), where f(n) = A034460(n) * (-1)^[A327159(n)>0], and A034460(n) = usigma(n)-n, with usigma the sum of unitary divisors of n (A034448).

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

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

cp's OEIS Frontend

A327162 Lexicographically earliest sequence such that for all i, j, a(i) = a(j) => f(i) = f(j), where f(n) = A034460(n) * (-1)^[A327159(n)>0], and A034460(n) = usigma(n)-n, with usigma the sum of unitary divisors of n (A034448).

Table of values

List of values

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

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

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