A347131 - cp's OEIS frontend

A347131 a(n) = Sum_{d|n} phi(n/d) * A003415(d), where A003415 is the arithmetic derivative and phi is Euler totient function.

n	a(n)
1	0
2	1
3	1
4	5
5	1
6	8
7	1
8	18
9	8
10	12
11	1
12	33
13	1
14	16
15	14
16	56
17	1
18	45
19	1
20	53
21	18
22	24
23	1
24	110
25	14
26	28
27	45
28	73
29	1
30	87
31	1
32	160
33	26
34	36
35	22
36	169
37	1
38	40
39	30
40	182
41	1
42	119
43	1
44	113
45	93
46	48
47	1
48	328
49	20
50	107
51	38
52	133
53	1
54	216
55	30
56	254
57	42
58	60
59	1
60	337
61	1
62	64
63	125
64	432
65	34
66	183
67	1
68	173
69	50
70	183
71	1
72	538
73	1
74	76
75	135
76	193
77	34
78	215
79	1
80	552
81	216

[0, 1, 1, 5, 1, 8, 1, 18, 8, 12, 1, 33, 1, 16, 14, 56, 1, 45, 1, 53, 18, 24, 1, 110, 14, 28, 45, 73, 1, 87, 1, 160, 26, 36, 22, 169, 1, 40, 30, 182, 1, 119, 1, 113, 93, 48, 1, 328, 20, 107, 38, 133, 1, 216, 30, 254, 42, 60, 1, 337, 1, 64, 125, 432, 34, 183, 1, 173, 50, 183, 1, 538, 1, 76, 135, 193, 34, 215, 1, 552, 216]

cp's OEIS Frontend

A347131 a(n) = Sum_{d|n} phi(n/d) * A003415(d), where A003415 is the arithmetic derivative and phi is Euler totient function.

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	5
5	1
6	8
7	1
8	18
9	8
10	12
11	1
12	33
13	1
14	16
15	14
16	56
17	1
18	45
19	1
20	53
21	18
22	24
23	1
24	110
25	14
26	28
27	45
28	73
29	1
30	87
31	1
32	160
33	26
34	36
35	22
36	169
37	1
38	40
39	30
40	182
41	1
42	119
43	1
44	113
45	93
46	48
47	1
48	328
49	20
50	107
51	38
52	133
53	1
54	216
55	30
56	254
57	42
58	60
59	1
60	337
61	1
62	64
63	125
64	432
65	34
66	183
67	1
68	173
69	50
70	183
71	1
72	538
73	1
74	76
75	135
76	193
77	34
78	215
79	1
80	552
81	216

n	a(n)
1	0
2	1
3	1
4	5
5	1
6	8
7	1
8	18
9	8
10	12
11	1
12	33
13	1
14	16
15	14
16	56
17	1
18	45
19	1
20	53
21	18
22	24
23	1
24	110
25	14
26	28
27	45
28	73
29	1
30	87
31	1
32	160
33	26
34	36
35	22
36	169
37	1
38	40
39	30
40	182
41	1
42	119
43	1
44	113
45	93
46	48
47	1
48	328
49	20
50	107
51	38
52	133
53	1
54	216
55	30
56	254
57	42
58	60
59	1
60	337
61	1
62	64
63	125
64	432
65	34
66	183
67	1
68	173
69	50
70	183
71	1
72	538
73	1
74	76
75	135
76	193
77	34
78	215
79	1
80	552
81	216

n	a(n)
1	0
2	1
3	1
4	5
5	1
6	8
7	1
8	18
9	8
10	12
11	1
12	33
13	1
14	16
15	14
16	56
17	1
18	45
19	1
20	53
21	18
22	24
23	1
24	110
25	14
26	28
27	45
28	73
29	1
30	87
31	1
32	160
33	26
34	36
35	22
36	169
37	1
38	40
39	30
40	182
41	1
42	119
43	1
44	113
45	93
46	48
47	1
48	328
49	20
50	107
51	38
52	133
53	1
54	216
55	30
56	254
57	42
58	60
59	1
60	337
61	1
62	64
63	125
64	432
65	34
66	183
67	1
68	173
69	50
70	183
71	1
72	538
73	1
74	76
75	135
76	193
77	34
78	215
79	1
80	552
81	216