A385200 - cp's OEIS frontend

A385200 The sum of the exponents e for the integers k from 1 to n such that the greatest divisor of k that is a unitary divisor of n is a prime power p^e.

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	3
7	1
8	3
9	2
10	5
11	1
12	7
13	1
14	7
15	6
16	4
17	1
18	10
19	1
20	11
21	8
22	11
23	1
24	13
25	2
26	13
27	3
28	15
29	1
30	14
31	1
32	5
33	12
34	17
35	10
36	22
37	1
38	19
39	14
40	19
41	1
42	20
43	1
44	23
45	16
46	23
47	1
48	23
49	2
50	26
51	18
52	27
53	1
54	29
55	14
56	25
57	20
58	29
59	1
60	34
61	1
62	31
63	20
64	6
65	16
66	32
67	1
68	35
69	24
70	34
71	1
72	38
73	1
74	37
75	28

[0, 1, 1, 2, 1, 3, 1, 3, 2, 5, 1, 7, 1, 7, 6, 4, 1, 10, 1, 11, 8, 11, 1, 13, 2, 13, 3, 15, 1, 14, 1, 5, 12, 17, 10, 22, 1, 19, 14, 19, 1, 20, 1, 23, 16, 23, 1, 23, 2, 26, 18, 27, 1, 29, 14, 25, 20, 29, 1, 34, 1, 31, 20, 6, 16, 32, 1, 35, 24, 34, 1, 38, 1, 37, 28]

cp's OEIS Frontend

A385200 The sum of the exponents e for the integers k from 1 to n such that the greatest divisor of k that is a unitary divisor of n is a prime power p^e.

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	3
7	1
8	3
9	2
10	5
11	1
12	7
13	1
14	7
15	6
16	4
17	1
18	10
19	1
20	11
21	8
22	11
23	1
24	13
25	2
26	13
27	3
28	15
29	1
30	14
31	1
32	5
33	12
34	17
35	10
36	22
37	1
38	19
39	14
40	19
41	1
42	20
43	1
44	23
45	16
46	23
47	1
48	23
49	2
50	26
51	18
52	27
53	1
54	29
55	14
56	25
57	20
58	29
59	1
60	34
61	1
62	31
63	20
64	6
65	16
66	32
67	1
68	35
69	24
70	34
71	1
72	38
73	1
74	37
75	28

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	3
7	1
8	3
9	2
10	5
11	1
12	7
13	1
14	7
15	6
16	4
17	1
18	10
19	1
20	11
21	8
22	11
23	1
24	13
25	2
26	13
27	3
28	15
29	1
30	14
31	1
32	5
33	12
34	17
35	10
36	22
37	1
38	19
39	14
40	19
41	1
42	20
43	1
44	23
45	16
46	23
47	1
48	23
49	2
50	26
51	18
52	27
53	1
54	29
55	14
56	25
57	20
58	29
59	1
60	34
61	1
62	31
63	20
64	6
65	16
66	32
67	1
68	35
69	24
70	34
71	1
72	38
73	1
74	37
75	28

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	3
7	1
8	3
9	2
10	5
11	1
12	7
13	1
14	7
15	6
16	4
17	1
18	10
19	1
20	11
21	8
22	11
23	1
24	13
25	2
26	13
27	3
28	15
29	1
30	14
31	1
32	5
33	12
34	17
35	10
36	22
37	1
38	19
39	14
40	19
41	1
42	20
43	1
44	23
45	16
46	23
47	1
48	23
49	2
50	26
51	18
52	27
53	1
54	29
55	14
56	25
57	20
58	29
59	1
60	34
61	1
62	31
63	20
64	6
65	16
66	32
67	1
68	35
69	24
70	34
71	1
72	38
73	1
74	37
75	28