A348981 - cp's OEIS frontend

A348981 a(n) = Sum_{d|n} phi(n/d) * A322582(d), where A322582(n) = n - A003958(n), and A003958 is fully multiplicative with a(p) = (p-1).

n	a(n)
1	0
2	1
3	1
4	4
5	1
6	7
7	1
8	12
9	7
10	11
11	1
12	24
13	1
14	15
15	13
16	32
17	1
18	35
19	1
20	40
21	17
22	23
23	1
24	68
25	13
26	27
27	35
28	56
29	1
30	71
31	1
32	80
33	25
34	35
35	21
36	112
37	1
38	39
39	29
40	116
41	1
42	99
43	1
44	88
45	77
46	47
47	1
48	176
49	19
50	91
51	37
52	104
53	1
54	151
55	29
56	164
57	41
58	59
59	1
60	232
61	1
62	63
63	105
64	192
65	33
66	155
67	1
68	136
69	49
70	159
71	1
72	308
73	1
74	75
75	117
76	152
77	33
78	183
79	1
80	304
81	151

[0, 1, 1, 4, 1, 7, 1, 12, 7, 11, 1, 24, 1, 15, 13, 32, 1, 35, 1, 40, 17, 23, 1, 68, 13, 27, 35, 56, 1, 71, 1, 80, 25, 35, 21, 112, 1, 39, 29, 116, 1, 99, 1, 88, 77, 47, 1, 176, 19, 91, 37, 104, 1, 151, 29, 164, 41, 59, 1, 232, 1, 63, 105, 192, 33, 155, 1, 136, 49, 159, 1, 308, 1, 75, 117, 152, 33, 183, 1, 304, 151]

cp's OEIS Frontend

A348981 a(n) = Sum_{d|n} phi(n/d) * A322582(d), where A322582(n) = n - A003958(n), and A003958 is fully multiplicative with a(p) = (p-1).

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	4
5	1
6	7
7	1
8	12
9	7
10	11
11	1
12	24
13	1
14	15
15	13
16	32
17	1
18	35
19	1
20	40
21	17
22	23
23	1
24	68
25	13
26	27
27	35
28	56
29	1
30	71
31	1
32	80
33	25
34	35
35	21
36	112
37	1
38	39
39	29
40	116
41	1
42	99
43	1
44	88
45	77
46	47
47	1
48	176
49	19
50	91
51	37
52	104
53	1
54	151
55	29
56	164
57	41
58	59
59	1
60	232
61	1
62	63
63	105
64	192
65	33
66	155
67	1
68	136
69	49
70	159
71	1
72	308
73	1
74	75
75	117
76	152
77	33
78	183
79	1
80	304
81	151

n	a(n)
1	0
2	1
3	1
4	4
5	1
6	7
7	1
8	12
9	7
10	11
11	1
12	24
13	1
14	15
15	13
16	32
17	1
18	35
19	1
20	40
21	17
22	23
23	1
24	68
25	13
26	27
27	35
28	56
29	1
30	71
31	1
32	80
33	25
34	35
35	21
36	112
37	1
38	39
39	29
40	116
41	1
42	99
43	1
44	88
45	77
46	47
47	1
48	176
49	19
50	91
51	37
52	104
53	1
54	151
55	29
56	164
57	41
58	59
59	1
60	232
61	1
62	63
63	105
64	192
65	33
66	155
67	1
68	136
69	49
70	159
71	1
72	308
73	1
74	75
75	117
76	152
77	33
78	183
79	1
80	304
81	151

n	a(n)
1	0
2	1
3	1
4	4
5	1
6	7
7	1
8	12
9	7
10	11
11	1
12	24
13	1
14	15
15	13
16	32
17	1
18	35
19	1
20	40
21	17
22	23
23	1
24	68
25	13
26	27
27	35
28	56
29	1
30	71
31	1
32	80
33	25
34	35
35	21
36	112
37	1
38	39
39	29
40	116
41	1
42	99
43	1
44	88
45	77
46	47
47	1
48	176
49	19
50	91
51	37
52	104
53	1
54	151
55	29
56	164
57	41
58	59
59	1
60	232
61	1
62	63
63	105
64	192
65	33
66	155
67	1
68	136
69	49
70	159
71	1
72	308
73	1
74	75
75	117
76	152
77	33
78	183
79	1
80	304
81	151