A351546 - cp's OEIS frontend

A351546 a(n) is the largest unitary divisor of sigma(n) coprime with A003961(n), where A003961 is fully multiplicative with a(p) = nextprime(p), and sigma is the sum of divisors function.

n	a(n)
1	1
2	1
3	4
4	7
5	6
6	4
7	8
8	5
9	13
10	2
11	12
12	28
13	14
14	8
15	24
16	31
17	18
18	13
19	20
20	2
21	32
22	4
23	24
24	4
25	31
26	14
27	8
28	56
29	30
30	8
31	32
32	7
33	48
34	2
35	48
36	91
37	38
38	20
39	56
40	10
41	42
42	32
43	44
44	28
45	78
46	8
47	48
48	124
49	57
50	31
51	72
52	98
53	54
54	8
55	72
56	40
57	16
58	10
59	60
60	8
61	62
62	32
63	104
64	127
65	12
66	16
67	68
68	14
69	96
70	16
71	72
72	13
73	74
74	38
75	124
76	140
77	96
78	56
79	80
80	62
81	121
82	14
83	84

[1, 1, 4, 7, 6, 4, 8, 5, 13, 2, 12, 28, 14, 8, 24, 31, 18, 13, 20, 2, 32, 4, 24, 4, 31, 14, 8, 56, 30, 8, 32, 7, 48, 2, 48, 91, 38, 20, 56, 10, 42, 32, 44, 28, 78, 8, 48, 124, 57, 31, 72, 98, 54, 8, 72, 40, 16, 10, 60, 8, 62, 32, 104, 127, 12, 16, 68, 14, 96, 16, 72, 13, 74, 38, 124, 140, 96, 56, 80, 62, 121, 14, 84]

cp's OEIS Frontend

A351546 a(n) is the largest unitary divisor of sigma(n) coprime with A003961(n), where A003961 is fully multiplicative with a(p) = nextprime(p), and sigma is the sum of divisors function.

Table of values

List of values

n	a(n)
1	1
2	1
3	4
4	7
5	6
6	4
7	8
8	5
9	13
10	2
11	12
12	28
13	14
14	8
15	24
16	31
17	18
18	13
19	20
20	2
21	32
22	4
23	24
24	4
25	31
26	14
27	8
28	56
29	30
30	8
31	32
32	7
33	48
34	2
35	48
36	91
37	38
38	20
39	56
40	10
41	42
42	32
43	44
44	28
45	78
46	8
47	48
48	124
49	57
50	31
51	72
52	98
53	54
54	8
55	72
56	40
57	16
58	10
59	60
60	8
61	62
62	32
63	104
64	127
65	12
66	16
67	68
68	14
69	96
70	16
71	72
72	13
73	74
74	38
75	124
76	140
77	96
78	56
79	80
80	62
81	121
82	14
83	84

n	a(n)
1	1
2	1
3	4
4	7
5	6
6	4
7	8
8	5
9	13
10	2
11	12
12	28
13	14
14	8
15	24
16	31
17	18
18	13
19	20
20	2
21	32
22	4
23	24
24	4
25	31
26	14
27	8
28	56
29	30
30	8
31	32
32	7
33	48
34	2
35	48
36	91
37	38
38	20
39	56
40	10
41	42
42	32
43	44
44	28
45	78
46	8
47	48
48	124
49	57
50	31
51	72
52	98
53	54
54	8
55	72
56	40
57	16
58	10
59	60
60	8
61	62
62	32
63	104
64	127
65	12
66	16
67	68
68	14
69	96
70	16
71	72
72	13
73	74
74	38
75	124
76	140
77	96
78	56
79	80
80	62
81	121
82	14
83	84

n	a(n)
1	1
2	1
3	4
4	7
5	6
6	4
7	8
8	5
9	13
10	2
11	12
12	28
13	14
14	8
15	24
16	31
17	18
18	13
19	20
20	2
21	32
22	4
23	24
24	4
25	31
26	14
27	8
28	56
29	30
30	8
31	32
32	7
33	48
34	2
35	48
36	91
37	38
38	20
39	56
40	10
41	42
42	32
43	44
44	28
45	78
46	8
47	48
48	124
49	57
50	31
51	72
52	98
53	54
54	8
55	72
56	40
57	16
58	10
59	60
60	8
61	62
62	32
63	104
64	127
65	12
66	16
67	68
68	14
69	96
70	16
71	72
72	13
73	74
74	38
75	124
76	140
77	96
78	56
79	80
80	62
81	121
82	14
83	84