A355003 - cp's OEIS frontend

A355003 a(n) = gcd(A003415(n), A277791(n)), where A003415 is the arithmetic derivative and A277791 is the denominator of sum of reciprocals of proper divisors of n.

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	1
8	4
9	3
10	1
11	1
12	4
13	1
14	1
15	1
16	8
17	1
18	3
19	1
20	4
21	1
22	1
23	1
24	4
25	5
26	1
27	9
28	4
29	1
30	1
31	1
32	16
33	1
34	1
35	1
36	2
37	1
38	1
39	1
40	4
41	1
42	1
43	1
44	4
45	3
46	1
47	1
48	16
49	7
50	5
51	1
52	4
53	1
54	27
55	1
56	4
57	1
58	1
59	1
60	4
61	1
62	1
63	3
64	32
65	1
66	1
67	1
68	4
69	1
70	1
71	1
72	12
73	1
74	1
75	5
76	4
77	1
78	1
79	1
80	16
81	27
82	1
83	1
84	4
85	1
86	1
87	1
88	4
89	1
90	3
91	1
92	4
93	1
94	1
95	1
96	16
97	1
98	7
99	3
100	5
101	1
102	1
103	1
104	4
105	1

[1, 1, 1, 2, 1, 1, 1, 4, 3, 1, 1, 4, 1, 1, 1, 8, 1, 3, 1, 4, 1, 1, 1, 4, 5, 1, 9, 4, 1, 1, 1, 16, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 1, 4, 3, 1, 1, 16, 7, 5, 1, 4, 1, 27, 1, 4, 1, 1, 1, 4, 1, 1, 3, 32, 1, 1, 1, 4, 1, 1, 1, 12, 1, 1, 5, 4, 1, 1, 1, 16, 27, 1, 1, 4, 1, 1, 1, 4, 1, 3, 1, 4, 1, 1, 1, 16, 1, 7, 3, 5, 1, 1, 1, 4, 1]

cp's OEIS Frontend

A355003 a(n) = gcd(A003415(n), A277791(n)), where A003415 is the arithmetic derivative and A277791 is the denominator of sum of reciprocals of proper divisors of n.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	1
8	4
9	3
10	1
11	1
12	4
13	1
14	1
15	1
16	8
17	1
18	3
19	1
20	4
21	1
22	1
23	1
24	4
25	5
26	1
27	9
28	4
29	1
30	1
31	1
32	16
33	1
34	1
35	1
36	2
37	1
38	1
39	1
40	4
41	1
42	1
43	1
44	4
45	3
46	1
47	1
48	16
49	7
50	5
51	1
52	4
53	1
54	27
55	1
56	4
57	1
58	1
59	1
60	4
61	1
62	1
63	3
64	32
65	1
66	1
67	1
68	4
69	1
70	1
71	1
72	12
73	1
74	1
75	5
76	4
77	1
78	1
79	1
80	16
81	27
82	1
83	1
84	4
85	1
86	1
87	1
88	4
89	1
90	3
91	1
92	4
93	1
94	1
95	1
96	16
97	1
98	7
99	3
100	5
101	1
102	1
103	1
104	4
105	1

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	1
8	4
9	3
10	1
11	1
12	4
13	1
14	1
15	1
16	8
17	1
18	3
19	1
20	4
21	1
22	1
23	1
24	4
25	5
26	1
27	9
28	4
29	1
30	1
31	1
32	16
33	1
34	1
35	1
36	2
37	1
38	1
39	1
40	4
41	1
42	1
43	1
44	4
45	3
46	1
47	1
48	16
49	7
50	5
51	1
52	4
53	1
54	27
55	1
56	4
57	1
58	1
59	1
60	4
61	1
62	1
63	3
64	32
65	1
66	1
67	1
68	4
69	1
70	1
71	1
72	12
73	1
74	1
75	5
76	4
77	1
78	1
79	1
80	16
81	27
82	1
83	1
84	4
85	1
86	1
87	1
88	4
89	1
90	3
91	1
92	4
93	1
94	1
95	1
96	16
97	1
98	7
99	3
100	5
101	1
102	1
103	1
104	4
105	1

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	1
8	4
9	3
10	1
11	1
12	4
13	1
14	1
15	1
16	8
17	1
18	3
19	1
20	4
21	1
22	1
23	1
24	4
25	5
26	1
27	9
28	4
29	1
30	1
31	1
32	16
33	1
34	1
35	1
36	2
37	1
38	1
39	1
40	4
41	1
42	1
43	1
44	4
45	3
46	1
47	1
48	16
49	7
50	5
51	1
52	4
53	1
54	27
55	1
56	4
57	1
58	1
59	1
60	4
61	1
62	1
63	3
64	32
65	1
66	1
67	1
68	4
69	1
70	1
71	1
72	12
73	1
74	1
75	5
76	4
77	1
78	1
79	1
80	16
81	27
82	1
83	1
84	4
85	1
86	1
87	1
88	4
89	1
90	3
91	1
92	4
93	1
94	1
95	1
96	16
97	1
98	7
99	3
100	5
101	1
102	1
103	1
104	4
105	1