A306671 - cp's OEIS frontend

A306671 a(n) = gcd(tau(n), pod(n)) where tau(k) = the number of the divisors of k (A000005) and pod(k) = the product of the divisors of k (A007955).

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

[1, 2, 1, 1, 1, 4, 1, 4, 3, 4, 1, 6, 1, 4, 1, 1, 1, 6, 1, 2, 1, 4, 1, 8, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 9, 1, 4, 1, 8, 1, 8, 1, 2, 3, 4, 1, 2, 1, 2, 1, 2, 1, 8, 1, 8, 1, 4, 1, 12, 1, 4, 3, 1, 1, 8, 1, 2, 1, 8, 1, 12, 1, 4, 3, 2, 1, 8, 1, 10, 1, 4, 1, 12, 1, 4]

cp's OEIS Frontend

A306671 a(n) = gcd(tau(n), pod(n)) where tau(k) = the number of the divisors of k (A000005) and pod(k) = the product of the divisors of k (A007955).

Table of values

List of values

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

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

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