A351425 - cp's OEIS frontend

A351425 If n = p_1^e_1 * ... * p_k^e_k, where p_1 < ... < p_k are primes, then a(n) is obtained by replacing the last factor p_k^e_k by (p_k + 1)^(e_k - 1); a(1) = 1.

n	a(n)
1	1
2	1
3	1
4	3
5	1
6	2
7	1
8	9
9	4
10	2
11	1
12	4
13	1
14	2
15	3
16	27
17	1
18	8
19	1
20	4
21	3
22	2
23	1
24	8
25	6
26	2
27	16
28	4
29	1
30	6
31	1
32	81
33	3
34	2
35	5
36	16
37	1
38	2
39	3
40	8
41	1
42	6
43	1
44	4
45	9
46	2
47	1
48	16
49	8
50	12
51	3
52	4
53	1
54	32
55	5
56	8
57	3
58	2
59	1
60	12
61	1
62	2
63	9
64	243
65	5
66	6
67	1
68	4
69	3
70	10
71	1
72	32
73	1
74	2
75	18
76	4
77	7
78	6
79	1
80	16
81	64
82	2

[1, 1, 1, 3, 1, 2, 1, 9, 4, 2, 1, 4, 1, 2, 3, 27, 1, 8, 1, 4, 3, 2, 1, 8, 6, 2, 16, 4, 1, 6, 1, 81, 3, 2, 5, 16, 1, 2, 3, 8, 1, 6, 1, 4, 9, 2, 1, 16, 8, 12, 3, 4, 1, 32, 5, 8, 3, 2, 1, 12, 1, 2, 9, 243, 5, 6, 1, 4, 3, 10, 1, 32, 1, 2, 18, 4, 7, 6, 1, 16, 64, 2]

cp's OEIS Frontend

A351425 If n = p_1^e_1 * ... * p_k^e_k, where p_1 < ... < p_k are primes, then a(n) is obtained by replacing the last factor p_k^e_k by (p_k + 1)^(e_k - 1); a(1) = 1.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	3
5	1
6	2
7	1
8	9
9	4
10	2
11	1
12	4
13	1
14	2
15	3
16	27
17	1
18	8
19	1
20	4
21	3
22	2
23	1
24	8
25	6
26	2
27	16
28	4
29	1
30	6
31	1
32	81
33	3
34	2
35	5
36	16
37	1
38	2
39	3
40	8
41	1
42	6
43	1
44	4
45	9
46	2
47	1
48	16
49	8
50	12
51	3
52	4
53	1
54	32
55	5
56	8
57	3
58	2
59	1
60	12
61	1
62	2
63	9
64	243
65	5
66	6
67	1
68	4
69	3
70	10
71	1
72	32
73	1
74	2
75	18
76	4
77	7
78	6
79	1
80	16
81	64
82	2

n	a(n)
1	1
2	1
3	1
4	3
5	1
6	2
7	1
8	9
9	4
10	2
11	1
12	4
13	1
14	2
15	3
16	27
17	1
18	8
19	1
20	4
21	3
22	2
23	1
24	8
25	6
26	2
27	16
28	4
29	1
30	6
31	1
32	81
33	3
34	2
35	5
36	16
37	1
38	2
39	3
40	8
41	1
42	6
43	1
44	4
45	9
46	2
47	1
48	16
49	8
50	12
51	3
52	4
53	1
54	32
55	5
56	8
57	3
58	2
59	1
60	12
61	1
62	2
63	9
64	243
65	5
66	6
67	1
68	4
69	3
70	10
71	1
72	32
73	1
74	2
75	18
76	4
77	7
78	6
79	1
80	16
81	64
82	2

n	a(n)
1	1
2	1
3	1
4	3
5	1
6	2
7	1
8	9
9	4
10	2
11	1
12	4
13	1
14	2
15	3
16	27
17	1
18	8
19	1
20	4
21	3
22	2
23	1
24	8
25	6
26	2
27	16
28	4
29	1
30	6
31	1
32	81
33	3
34	2
35	5
36	16
37	1
38	2
39	3
40	8
41	1
42	6
43	1
44	4
45	9
46	2
47	1
48	16
49	8
50	12
51	3
52	4
53	1
54	32
55	5
56	8
57	3
58	2
59	1
60	12
61	1
62	2
63	9
64	243
65	5
66	6
67	1
68	4
69	3
70	10
71	1
72	32
73	1
74	2
75	18
76	4
77	7
78	6
79	1
80	16
81	64
82	2