A329612 - cp's OEIS frontend

A329612 a(n) = gcd(d(n), d(A108951(n))), where d(n) gives the number of divisors of n, A000005(n), and A108951 is fully multiplicative with a(prime(i)) = prime(i)# = prime(1) * ... * prime(i).

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

[1, 2, 2, 3, 2, 2, 2, 4, 3, 4, 2, 2, 2, 4, 2, 5, 2, 6, 2, 2, 4, 4, 2, 2, 3, 4, 4, 2, 2, 8, 2, 6, 4, 4, 2, 3, 2, 4, 4, 4, 2, 8, 2, 2, 2, 4, 2, 2, 3, 6, 4, 2, 2, 4, 4, 8, 4, 4, 2, 6, 2, 4, 2, 7, 4, 8, 2, 2, 4, 8, 2, 6, 2, 4, 6, 2, 2, 8, 2, 2, 5, 4, 2, 12, 4, 4, 4, 8, 2, 4, 4, 2, 4, 4, 4, 2, 2, 6, 2, 9, 2, 8, 2, 8, 8]

cp's OEIS Frontend

A329612 a(n) = gcd(d(n), d(A108951(n))), where d(n) gives the number of divisors of n, A000005(n), and A108951 is fully multiplicative with a(prime(i)) = prime(i)# = prime(1) * ... * prime(i).

Table of values

List of values

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

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

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