A387141 - cp's OEIS frontend

A387141 a(n) = floor((Product_{k=1..n} radical(k))^(1/n)) for n >= 1, a(0) = 1, where radical(n) is the product of distinct prime factors of n, cf. A007947.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	2
7	3
8	2
9	2
10	3
11	3
12	3
13	4
14	4
15	4
16	4
17	5
18	5
19	5
20	5
21	6
22	6
23	6
24	6
25	6
26	6
27	6
28	6
29	7
30	7
31	8
32	7
33	8
34	8
35	8
36	8
37	8
38	9
39	9
40	9
41	10
42	10
43	10
44	10
45	10
46	11
47	11
48	11
49	11
50	11
51	11
52	11
53	12
54	12
55	12
56	12
57	12
58	13
59	13
60	13
61	13
62	14
63	14
64	13
65	14
66	14
67	14
68	15
69	15
70	15
71	16
72	15
73	16
74	16

[1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 7, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 13, 14, 14, 14, 15, 15, 15, 16, 15, 16, 16]

cp's OEIS Frontend

A387141 a(n) = floor((Product_{k=1..n} radical(k))^(1/n)) for n >= 1, a(0) = 1, where radical(n) is the product of distinct prime factors of n, cf. A007947.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	2
7	3
8	2
9	2
10	3
11	3
12	3
13	4
14	4
15	4
16	4
17	5
18	5
19	5
20	5
21	6
22	6
23	6
24	6
25	6
26	6
27	6
28	6
29	7
30	7
31	8
32	7
33	8
34	8
35	8
36	8
37	8
38	9
39	9
40	9
41	10
42	10
43	10
44	10
45	10
46	11
47	11
48	11
49	11
50	11
51	11
52	11
53	12
54	12
55	12
56	12
57	12
58	13
59	13
60	13
61	13
62	14
63	14
64	13
65	14
66	14
67	14
68	15
69	15
70	15
71	16
72	15
73	16
74	16

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	2
7	3
8	2
9	2
10	3
11	3
12	3
13	4
14	4
15	4
16	4
17	5
18	5
19	5
20	5
21	6
22	6
23	6
24	6
25	6
26	6
27	6
28	6
29	7
30	7
31	8
32	7
33	8
34	8
35	8
36	8
37	8
38	9
39	9
40	9
41	10
42	10
43	10
44	10
45	10
46	11
47	11
48	11
49	11
50	11
51	11
52	11
53	12
54	12
55	12
56	12
57	12
58	13
59	13
60	13
61	13
62	14
63	14
64	13
65	14
66	14
67	14
68	15
69	15
70	15
71	16
72	15
73	16
74	16

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	2
7	3
8	2
9	2
10	3
11	3
12	3
13	4
14	4
15	4
16	4
17	5
18	5
19	5
20	5
21	6
22	6
23	6
24	6
25	6
26	6
27	6
28	6
29	7
30	7
31	8
32	7
33	8
34	8
35	8
36	8
37	8
38	9
39	9
40	9
41	10
42	10
43	10
44	10
45	10
46	11
47	11
48	11
49	11
50	11
51	11
52	11
53	12
54	12
55	12
56	12
57	12
58	13
59	13
60	13
61	13
62	14
63	14
64	13
65	14
66	14
67	14
68	15
69	15
70	15
71	16
72	15
73	16
74	16