A348972 - cp's OEIS frontend

A348972 a(n) = gcd(A003959(n), A129283(n)), where A003959 is multiplicative with a(p^e) = (p+1)^e and A129283(n) is sum of n and its arithmetic derivative.

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

[1, 3, 4, 1, 6, 1, 8, 1, 1, 1, 12, 4, 14, 1, 1, 3, 18, 3, 20, 2, 1, 1, 24, 4, 1, 1, 2, 12, 30, 1, 32, 1, 1, 1, 1, 48, 38, 1, 1, 54, 42, 1, 44, 4, 12, 1, 48, 4, 1, 1, 1, 18, 54, 3, 1, 4, 1, 1, 60, 8, 62, 1, 2, 1, 1, 1, 68, 2, 1, 3, 72, 12, 74, 1, 2, 12, 1, 1, 80, 2, 1, 1, 84, 16, 1, 1, 1, 12, 90, 3, 1, 4, 1, 1, 1, 4, 98]

cp's OEIS Frontend

A348972 a(n) = gcd(A003959(n), A129283(n)), where A003959 is multiplicative with a(p^e) = (p+1)^e and A129283(n) is sum of n and its arithmetic derivative.

Table of values

List of values

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

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

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