A373738 - cp's OEIS frontend

A373738 a(1) = 1, a(n) = floor((1/omega(n)!) * Product_{p | n} 1 + (log n)/(log p)), where omega = A001221.

n	a(n)
1	1
2	2
3	2
4	3
5	2
6	4
7	2
8	4
9	3
10	5
11	2
12	7
13	2
14	5
15	4
16	5
17	2
18	9
19	2
20	7
21	4
22	6
23	2
24	10
25	3
26	6
27	4
28	7
29	2
30	12
31	2
32	6
33	5
34	6
35	4
36	13
37	2
38	6
39	5
40	10
41	2
42	13
43	2
44	8
45	7
46	7
47	2
48	14
49	3
50	11
51	5
52	8
53	2
54	15
55	4
56	10
57	5
58	7
59	2
60	19
61	2
62	7
63	7
64	7
65	4
66	15
67	2
68	8
69	5
70	13
71	2
72	17
73	2
74	7
75	9
76	8
77	4
78	16
79	2
80	13
81	5
82	8
83	2

[1, 2, 2, 3, 2, 4, 2, 4, 3, 5, 2, 7, 2, 5, 4, 5, 2, 9, 2, 7, 4, 6, 2, 10, 3, 6, 4, 7, 2, 12, 2, 6, 5, 6, 4, 13, 2, 6, 5, 10, 2, 13, 2, 8, 7, 7, 2, 14, 3, 11, 5, 8, 2, 15, 4, 10, 5, 7, 2, 19, 2, 7, 7, 7, 4, 15, 2, 8, 5, 13, 2, 17, 2, 7, 9, 8, 4, 16, 2, 13, 5, 8, 2]

cp's OEIS Frontend

A373738 a(1) = 1, a(n) = floor((1/omega(n)!) * Product_{p | n} 1 + (log n)/(log p)), where omega = A001221.

Table of values

List of values

n	a(n)
1	1
2	2
3	2
4	3
5	2
6	4
7	2
8	4
9	3
10	5
11	2
12	7
13	2
14	5
15	4
16	5
17	2
18	9
19	2
20	7
21	4
22	6
23	2
24	10
25	3
26	6
27	4
28	7
29	2
30	12
31	2
32	6
33	5
34	6
35	4
36	13
37	2
38	6
39	5
40	10
41	2
42	13
43	2
44	8
45	7
46	7
47	2
48	14
49	3
50	11
51	5
52	8
53	2
54	15
55	4
56	10
57	5
58	7
59	2
60	19
61	2
62	7
63	7
64	7
65	4
66	15
67	2
68	8
69	5
70	13
71	2
72	17
73	2
74	7
75	9
76	8
77	4
78	16
79	2
80	13
81	5
82	8
83	2

n	a(n)
1	1
2	2
3	2
4	3
5	2
6	4
7	2
8	4
9	3
10	5
11	2
12	7
13	2
14	5
15	4
16	5
17	2
18	9
19	2
20	7
21	4
22	6
23	2
24	10
25	3
26	6
27	4
28	7
29	2
30	12
31	2
32	6
33	5
34	6
35	4
36	13
37	2
38	6
39	5
40	10
41	2
42	13
43	2
44	8
45	7
46	7
47	2
48	14
49	3
50	11
51	5
52	8
53	2
54	15
55	4
56	10
57	5
58	7
59	2
60	19
61	2
62	7
63	7
64	7
65	4
66	15
67	2
68	8
69	5
70	13
71	2
72	17
73	2
74	7
75	9
76	8
77	4
78	16
79	2
80	13
81	5
82	8
83	2

n	a(n)
1	1
2	2
3	2
4	3
5	2
6	4
7	2
8	4
9	3
10	5
11	2
12	7
13	2
14	5
15	4
16	5
17	2
18	9
19	2
20	7
21	4
22	6
23	2
24	10
25	3
26	6
27	4
28	7
29	2
30	12
31	2
32	6
33	5
34	6
35	4
36	13
37	2
38	6
39	5
40	10
41	2
42	13
43	2
44	8
45	7
46	7
47	2
48	14
49	3
50	11
51	5
52	8
53	2
54	15
55	4
56	10
57	5
58	7
59	2
60	19
61	2
62	7
63	7
64	7
65	4
66	15
67	2
68	8
69	5
70	13
71	2
72	17
73	2
74	7
75	9
76	8
77	4
78	16
79	2
80	13
81	5
82	8
83	2