A293515 - cp's OEIS frontend

A293515 a(n) = Product_{d^k|n, d>1, k>1} prime(A286561(n,d)-1), where A286561(n,d) gives the highest exponent of d dividing n.

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	1
8	3
9	2
10	1
11	1
12	2
13	1
14	1
15	1
16	10
17	1
18	2
19	1
20	2
21	1
22	1
23	1
24	3
25	2
26	1
27	3
28	2
29	1
30	1
31	1
32	14
33	1
34	1
35	1
36	8
37	1
38	1
39	1
40	3
41	1
42	1
43	1
44	2
45	2
46	1
47	1
48	10
49	2
50	2
51	1
52	2
53	1
54	3
55	1
56	3
57	1
58	1
59	1
60	2
61	1
62	1
63	2
64	66
65	1
66	1
67	1
68	2
69	1
70	1
71	1
72	12
73	1
74	1
75	2
76	2
77	1
78	1
79	1
80	10
81	10
82	1
83	1
84	2
85	1
86	1
87	1
88	3
89	1
90	2
91	1
92	2
93	1
94	1
95	1
96	14
97	1
98	2
99	2
100	8
101	1
102	1
103	1
104	3
105	1
106	1
107	1
108	12
109	1
110	1
111	1
112	10
113	1
114	1
115	1
116	2
117	2

[1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 2, 1, 1, 1, 10, 1, 2, 1, 2, 1, 1, 1, 3, 2, 1, 3, 2, 1, 1, 1, 14, 1, 1, 1, 8, 1, 1, 1, 3, 1, 1, 1, 2, 2, 1, 1, 10, 2, 2, 1, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 2, 66, 1, 1, 1, 2, 1, 1, 1, 12, 1, 1, 2, 2, 1, 1, 1, 10, 10, 1, 1, 2, 1, 1, 1, 3, 1, 2, 1, 2, 1, 1, 1, 14, 1, 2, 2, 8, 1, 1, 1, 3, 1, 1, 1, 12, 1, 1, 1, 10, 1, 1, 1, 2, 2]

cp's OEIS Frontend

A293515 a(n) = Product_{d^k|n, d>1, k>1} prime(A286561(n,d)-1), where A286561(n,d) gives the highest exponent of d dividing n.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	1
8	3
9	2
10	1
11	1
12	2
13	1
14	1
15	1
16	10
17	1
18	2
19	1
20	2
21	1
22	1
23	1
24	3
25	2
26	1
27	3
28	2
29	1
30	1
31	1
32	14
33	1
34	1
35	1
36	8
37	1
38	1
39	1
40	3
41	1
42	1
43	1
44	2
45	2
46	1
47	1
48	10
49	2
50	2
51	1
52	2
53	1
54	3
55	1
56	3
57	1
58	1
59	1
60	2
61	1
62	1
63	2
64	66
65	1
66	1
67	1
68	2
69	1
70	1
71	1
72	12
73	1
74	1
75	2
76	2
77	1
78	1
79	1
80	10
81	10
82	1
83	1
84	2
85	1
86	1
87	1
88	3
89	1
90	2
91	1
92	2
93	1
94	1
95	1
96	14
97	1
98	2
99	2
100	8
101	1
102	1
103	1
104	3
105	1
106	1
107	1
108	12
109	1
110	1
111	1
112	10
113	1
114	1
115	1
116	2
117	2

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	1
8	3
9	2
10	1
11	1
12	2
13	1
14	1
15	1
16	10
17	1
18	2
19	1
20	2
21	1
22	1
23	1
24	3
25	2
26	1
27	3
28	2
29	1
30	1
31	1
32	14
33	1
34	1
35	1
36	8
37	1
38	1
39	1
40	3
41	1
42	1
43	1
44	2
45	2
46	1
47	1
48	10
49	2
50	2
51	1
52	2
53	1
54	3
55	1
56	3
57	1
58	1
59	1
60	2
61	1
62	1
63	2
64	66
65	1
66	1
67	1
68	2
69	1
70	1
71	1
72	12
73	1
74	1
75	2
76	2
77	1
78	1
79	1
80	10
81	10
82	1
83	1
84	2
85	1
86	1
87	1
88	3
89	1
90	2
91	1
92	2
93	1
94	1
95	1
96	14
97	1
98	2
99	2
100	8
101	1
102	1
103	1
104	3
105	1
106	1
107	1
108	12
109	1
110	1
111	1
112	10
113	1
114	1
115	1
116	2
117	2

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	1
8	3
9	2
10	1
11	1
12	2
13	1
14	1
15	1
16	10
17	1
18	2
19	1
20	2
21	1
22	1
23	1
24	3
25	2
26	1
27	3
28	2
29	1
30	1
31	1
32	14
33	1
34	1
35	1
36	8
37	1
38	1
39	1
40	3
41	1
42	1
43	1
44	2
45	2
46	1
47	1
48	10
49	2
50	2
51	1
52	2
53	1
54	3
55	1
56	3
57	1
58	1
59	1
60	2
61	1
62	1
63	2
64	66
65	1
66	1
67	1
68	2
69	1
70	1
71	1
72	12
73	1
74	1
75	2
76	2
77	1
78	1
79	1
80	10
81	10
82	1
83	1
84	2
85	1
86	1
87	1
88	3
89	1
90	2
91	1
92	2
93	1
94	1
95	1
96	14
97	1
98	2
99	2
100	8
101	1
102	1
103	1
104	3
105	1
106	1
107	1
108	12
109	1
110	1
111	1
112	10
113	1
114	1
115	1
116	2
117	2