A153452 - cp's OEIS frontend

A153452 a(1) = 1; if n > 1, then a(n) = Sum_{prime q |n} a(n*q' /q), where q' = prevprime(q) for q>2 and 2' = 1.

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

[1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 3, 1, 4, 5, 1, 1, 5, 1, 6, 9, 5, 1, 4, 5, 6, 5, 10, 1, 16, 1, 1, 14, 7, 14, 9, 1, 8, 20, 10, 1, 35, 1, 15, 21, 9, 1, 5, 14, 21, 27, 21, 1, 14, 28, 20, 35, 10, 1, 35, 1, 11, 56, 1, 48, 64, 1, 28, 44, 70, 1, 14, 1, 12, 42, 36, 42]

cp's OEIS Frontend

A153452 a(1) = 1; if n > 1, then a(n) = Sum_{prime q |n} a(n*q' /q), where q' = prevprime(q) for q>2 and 2' = 1.

Table of values

List of values

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

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

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