A322979 - cp's OEIS frontend

A322979 a(n) = Sum A009191(d) over the divisors d of n, where A009191(x) = gcd(x, A000005(x)), and A000005(x) gives the number of divisors of x.

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

[1, 3, 2, 4, 2, 6, 2, 8, 5, 6, 2, 13, 2, 6, 4, 9, 2, 15, 2, 9, 4, 6, 2, 25, 3, 6, 6, 9, 2, 12, 2, 11, 4, 6, 4, 31, 2, 6, 4, 21, 2, 12, 2, 9, 10, 6, 2, 28, 3, 9, 4, 9, 2, 18, 4, 21, 4, 6, 2, 33, 2, 6, 10, 12, 4, 12, 2, 9, 4, 12, 2, 55, 2, 6, 8, 9, 4, 12, 2, 32, 7, 6, 2, 33, 4, 6, 4, 21, 2, 30, 4, 9, 4, 6, 4, 42, 2, 9, 10, 13, 2, 12, 2, 21, 8]

cp's OEIS Frontend

A322979 a(n) = Sum A009191(d) over the divisors d of n, where A009191(x) = gcd(x, A000005(x)), and A000005(x) gives the number of divisors of x.

Table of values

List of values

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

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

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