A349162 - cp's OEIS frontend

A349162 a(n) = sigma(n) / gcd(sigma(n), A003961(n)), where A003961 shifts the prime factorization of n one step towards larger primes, 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	6
11	12
12	28
13	14
14	8
15	24
16	31
17	18
18	13
19	20
20	2
21	32
22	12
23	24
24	4
25	31
26	14
27	8
28	56
29	30
30	24
31	32
32	7
33	48
34	18
35	48
36	91
37	38
38	20
39	56
40	10
41	42
42	32
43	44
44	28
45	78
46	24
47	48
48	124
49	57
50	31
51	72
52	98
53	54
54	8
55	72
56	40
57	16
58	30
59	60
60	8
61	62
62	32
63	104
64	127
65	12
66	48
67	68
68	14
69	96
70	48
71	72
72	13
73	74
74	38
75	124
76	140
77	96
78	56
79	80
80	62
81	121
82	42

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

cp's OEIS Frontend

A349162 a(n) = sigma(n) / gcd(sigma(n), A003961(n)), where A003961 shifts the prime factorization of n one step towards larger primes, 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	6
11	12
12	28
13	14
14	8
15	24
16	31
17	18
18	13
19	20
20	2
21	32
22	12
23	24
24	4
25	31
26	14
27	8
28	56
29	30
30	24
31	32
32	7
33	48
34	18
35	48
36	91
37	38
38	20
39	56
40	10
41	42
42	32
43	44
44	28
45	78
46	24
47	48
48	124
49	57
50	31
51	72
52	98
53	54
54	8
55	72
56	40
57	16
58	30
59	60
60	8
61	62
62	32
63	104
64	127
65	12
66	48
67	68
68	14
69	96
70	48
71	72
72	13
73	74
74	38
75	124
76	140
77	96
78	56
79	80
80	62
81	121
82	42

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

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