A343227 - cp's OEIS frontend

A343227 a(n) = sigma(n) / gcd(sigma(n), n+A003415(n)), where A003415 is the arithmetic derivative, and sigma is the sum of divisors of n.

n	a(n)
1	1
2	1
3	1
4	7
5	1
6	12
7	1
8	3
9	13
10	18
11	1
12	1
13	1
14	24
15	24
16	31
17	1
18	1
19	1
20	21
21	32
22	36
23	1
24	15
25	31
26	42
27	20
28	14
29	1
30	72
31	1
32	9
33	48
34	54
35	48
36	91
37	1
38	60
39	56
40	5
41	1
42	96
43	1
44	21
45	13
46	72
47	1
48	31
49	19
50	93
51	72
52	49
53	1
54	8
55	72
56	30
57	80
58	90
59	1
60	21
61	1
62	96
63	52
64	127
65	84
66	144
67	1
68	9
69	96
70	48
71	1
72	65
73	1
74	114
75	62
76	35
77	96
78	168
79	1
80	93
81	121
82	126
83	1
84	14
85	108

[1, 1, 1, 7, 1, 12, 1, 3, 13, 18, 1, 1, 1, 24, 24, 31, 1, 1, 1, 21, 32, 36, 1, 15, 31, 42, 20, 14, 1, 72, 1, 9, 48, 54, 48, 91, 1, 60, 56, 5, 1, 96, 1, 21, 13, 72, 1, 31, 19, 93, 72, 49, 1, 8, 72, 30, 80, 90, 1, 21, 1, 96, 52, 127, 84, 144, 1, 9, 96, 48, 1, 65, 1, 114, 62, 35, 96, 168, 1, 93, 121, 126, 1, 14, 108]

cp's OEIS Frontend

A343227 a(n) = sigma(n) / gcd(sigma(n), n+A003415(n)), where A003415 is the arithmetic derivative, and sigma is the sum of divisors of n.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	7
5	1
6	12
7	1
8	3
9	13
10	18
11	1
12	1
13	1
14	24
15	24
16	31
17	1
18	1
19	1
20	21
21	32
22	36
23	1
24	15
25	31
26	42
27	20
28	14
29	1
30	72
31	1
32	9
33	48
34	54
35	48
36	91
37	1
38	60
39	56
40	5
41	1
42	96
43	1
44	21
45	13
46	72
47	1
48	31
49	19
50	93
51	72
52	49
53	1
54	8
55	72
56	30
57	80
58	90
59	1
60	21
61	1
62	96
63	52
64	127
65	84
66	144
67	1
68	9
69	96
70	48
71	1
72	65
73	1
74	114
75	62
76	35
77	96
78	168
79	1
80	93
81	121
82	126
83	1
84	14
85	108

n	a(n)
1	1
2	1
3	1
4	7
5	1
6	12
7	1
8	3
9	13
10	18
11	1
12	1
13	1
14	24
15	24
16	31
17	1
18	1
19	1
20	21
21	32
22	36
23	1
24	15
25	31
26	42
27	20
28	14
29	1
30	72
31	1
32	9
33	48
34	54
35	48
36	91
37	1
38	60
39	56
40	5
41	1
42	96
43	1
44	21
45	13
46	72
47	1
48	31
49	19
50	93
51	72
52	49
53	1
54	8
55	72
56	30
57	80
58	90
59	1
60	21
61	1
62	96
63	52
64	127
65	84
66	144
67	1
68	9
69	96
70	48
71	1
72	65
73	1
74	114
75	62
76	35
77	96
78	168
79	1
80	93
81	121
82	126
83	1
84	14
85	108

n	a(n)
1	1
2	1
3	1
4	7
5	1
6	12
7	1
8	3
9	13
10	18
11	1
12	1
13	1
14	24
15	24
16	31
17	1
18	1
19	1
20	21
21	32
22	36
23	1
24	15
25	31
26	42
27	20
28	14
29	1
30	72
31	1
32	9
33	48
34	54
35	48
36	91
37	1
38	60
39	56
40	5
41	1
42	96
43	1
44	21
45	13
46	72
47	1
48	31
49	19
50	93
51	72
52	49
53	1
54	8
55	72
56	30
57	80
58	90
59	1
60	21
61	1
62	96
63	52
64	127
65	84
66	144
67	1
68	9
69	96
70	48
71	1
72	65
73	1
74	114
75	62
76	35
77	96
78	168
79	1
80	93
81	121
82	126
83	1
84	14
85	108