A343223 - cp's OEIS frontend

A343223 a(n) = gcd(A003415(n), A003415(sigma(n))-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	1
5	1
6	5
7	1
8	12
9	2
10	1
11	1
12	4
13	1
14	3
15	1
16	1
17	1
18	1
19	1
20	3
21	1
22	1
23	1
24	4
25	2
26	15
27	1
28	32
29	1
30	1
31	1
32	1
33	1
34	1
35	1
36	4
37	1
38	3
39	1
40	1
41	1
42	1
43	1
44	16
45	13
46	5
47	1
48	16
49	1
50	1
51	5
52	1
53	1
54	1
55	1
56	4
57	1
58	1
59	1
60	4
61	1
62	3
63	1
64	3
65	1
66	1
67	1
68	1
69	1
70	1
71	1
72	1
73	1
74	3
75	1
76	16
77	3
78	1
79	1
80	1
81	1
82	1
83	1
84	4
85	1
86	3
87	1
88	4
89	1
90	3
91	1
92	48
93	1
94	1
95	1
96	8
97	1
98	1
99	1
100	2
101	1
102	1
103	1
104	1
105	1

[1, 1, 1, 1, 1, 5, 1, 12, 2, 1, 1, 4, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 4, 2, 15, 1, 32, 1, 1, 1, 1, 1, 1, 1, 4, 1, 3, 1, 1, 1, 1, 1, 16, 13, 5, 1, 16, 1, 1, 5, 1, 1, 1, 1, 4, 1, 1, 1, 4, 1, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 16, 3, 1, 1, 1, 1, 1, 1, 4, 1, 3, 1, 4, 1, 3, 1, 48, 1, 1, 1, 8, 1, 1, 1, 2, 1, 1, 1, 1, 1]

cp's OEIS Frontend

A343223 a(n) = gcd(A003415(n), A003415(sigma(n))-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	1
5	1
6	5
7	1
8	12
9	2
10	1
11	1
12	4
13	1
14	3
15	1
16	1
17	1
18	1
19	1
20	3
21	1
22	1
23	1
24	4
25	2
26	15
27	1
28	32
29	1
30	1
31	1
32	1
33	1
34	1
35	1
36	4
37	1
38	3
39	1
40	1
41	1
42	1
43	1
44	16
45	13
46	5
47	1
48	16
49	1
50	1
51	5
52	1
53	1
54	1
55	1
56	4
57	1
58	1
59	1
60	4
61	1
62	3
63	1
64	3
65	1
66	1
67	1
68	1
69	1
70	1
71	1
72	1
73	1
74	3
75	1
76	16
77	3
78	1
79	1
80	1
81	1
82	1
83	1
84	4
85	1
86	3
87	1
88	4
89	1
90	3
91	1
92	48
93	1
94	1
95	1
96	8
97	1
98	1
99	1
100	2
101	1
102	1
103	1
104	1
105	1

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

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