A175066 - cp's OEIS frontend

A175066 a(1) = 1, for n >= 2: a(n) = number of ways h to write perfect powers A117453(n) as m^k (m >= 2, k >= 2).

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

[1, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 5, 3, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 4, 2, 2, 3, 2, 2, 2, 2, 5, 2, 2, 3, 2, 5, 2, 2, 2, 2, 3, 5, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 7, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2]

cp's OEIS Frontend

A175066 a(1) = 1, for n >= 2: a(n) = number of ways h to write perfect powers A117453(n) as m^k (m >= 2, k >= 2).

Table of values

List of values

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

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

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