A349381 - cp's OEIS frontend

A349381 Dirichlet convolution of A003961 with A349125 (Dirichlet inverse of A064989), where A003961 and A064989 are fully multiplicative sequences that shift the prime factorization of n one step towards larger and smaller primes respectively.

n	a(n)
1	1
2	2
3	3
4	6
5	4
6	6
7	6
8	18
9	15
10	8
11	6
12	18
13	6
14	12
15	12
16	54
17	6
18	30
19	6
20	24
21	18
22	12
23	10
24	54
25	28
26	12
27	75
28	36
29	8
30	24
31	8
32	162
33	18
34	12
35	24
36	90
37	10
38	12
39	18
40	72
41	6
42	36
43	6
44	36
45	60
46	20
47	10
48	162
49	66
50	56
51	18
52	36
53	12
54	150
55	24
56	108
57	18
58	16
59	8
60	72
61	8
62	16
63	90
64	486
65	24
66	36
67	10
68	36
69	30
70	48
71	6
72	270
73	8
74	20
75	84
76	36
77	36
78	36
79	10
80	216
81	375
82	12

[1, 2, 3, 6, 4, 6, 6, 18, 15, 8, 6, 18, 6, 12, 12, 54, 6, 30, 6, 24, 18, 12, 10, 54, 28, 12, 75, 36, 8, 24, 8, 162, 18, 12, 24, 90, 10, 12, 18, 72, 6, 36, 6, 36, 60, 20, 10, 162, 66, 56, 18, 36, 12, 150, 24, 108, 18, 16, 8, 72, 8, 16, 90, 486, 24, 36, 10, 36, 30, 48, 6, 270, 8, 20, 84, 36, 36, 36, 10, 216, 375, 12]

cp's OEIS Frontend

A349381 Dirichlet convolution of A003961 with A349125 (Dirichlet inverse of A064989), where A003961 and A064989 are fully multiplicative sequences that shift the prime factorization of n one step towards larger and smaller primes respectively.

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	6
5	4
6	6
7	6
8	18
9	15
10	8
11	6
12	18
13	6
14	12
15	12
16	54
17	6
18	30
19	6
20	24
21	18
22	12
23	10
24	54
25	28
26	12
27	75
28	36
29	8
30	24
31	8
32	162
33	18
34	12
35	24
36	90
37	10
38	12
39	18
40	72
41	6
42	36
43	6
44	36
45	60
46	20
47	10
48	162
49	66
50	56
51	18
52	36
53	12
54	150
55	24
56	108
57	18
58	16
59	8
60	72
61	8
62	16
63	90
64	486
65	24
66	36
67	10
68	36
69	30
70	48
71	6
72	270
73	8
74	20
75	84
76	36
77	36
78	36
79	10
80	216
81	375
82	12

n	a(n)
1	1
2	2
3	3
4	6
5	4
6	6
7	6
8	18
9	15
10	8
11	6
12	18
13	6
14	12
15	12
16	54
17	6
18	30
19	6
20	24
21	18
22	12
23	10
24	54
25	28
26	12
27	75
28	36
29	8
30	24
31	8
32	162
33	18
34	12
35	24
36	90
37	10
38	12
39	18
40	72
41	6
42	36
43	6
44	36
45	60
46	20
47	10
48	162
49	66
50	56
51	18
52	36
53	12
54	150
55	24
56	108
57	18
58	16
59	8
60	72
61	8
62	16
63	90
64	486
65	24
66	36
67	10
68	36
69	30
70	48
71	6
72	270
73	8
74	20
75	84
76	36
77	36
78	36
79	10
80	216
81	375
82	12

n	a(n)
1	1
2	2
3	3
4	6
5	4
6	6
7	6
8	18
9	15
10	8
11	6
12	18
13	6
14	12
15	12
16	54
17	6
18	30
19	6
20	24
21	18
22	12
23	10
24	54
25	28
26	12
27	75
28	36
29	8
30	24
31	8
32	162
33	18
34	12
35	24
36	90
37	10
38	12
39	18
40	72
41	6
42	36
43	6
44	36
45	60
46	20
47	10
48	162
49	66
50	56
51	18
52	36
53	12
54	150
55	24
56	108
57	18
58	16
59	8
60	72
61	8
62	16
63	90
64	486
65	24
66	36
67	10
68	36
69	30
70	48
71	6
72	270
73	8
74	20
75	84
76	36
77	36
78	36
79	10
80	216
81	375
82	12