A079869 - cp's OEIS frontend

A079869 a(1)=1 and for n>1: round(n^(1/Omega(n)))^Omega(n), where Omega(n) is the total number of prime factors of n (A001222).

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

[1, 2, 3, 4, 5, 4, 7, 8, 9, 9, 11, 8, 13, 16, 16, 16, 17, 27, 19, 27, 25, 25, 23, 16, 25, 25, 27, 27, 29, 27, 31, 32, 36, 36, 36, 16, 37, 36, 36, 81, 41, 27, 43, 64, 64, 49, 47, 32, 49, 64, 49, 64, 53, 81, 49, 81, 64, 64, 59, 81, 61, 64, 64, 64, 64, 64, 67, 64, 64, 64, 71, 32, 73]

cp's OEIS Frontend

A079869 a(1)=1 and for n>1: round(n^(1/Omega(n)))^Omega(n), where Omega(n) is the total number of prime factors of n (A001222).

Table of values

List of values

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

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

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