A348980 - cp's OEIS frontend

A348980 a(n) = Sum_{d|n} d * A322582(n/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	5
5	1
6	9
7	1
8	17
9	8
10	13
11	1
12	37
13	1
14	17
15	15
16	49
17	1
18	51
19	1
20	57
21	19
22	25
23	1
24	117
25	14
26	29
27	43
28	77
29	1
30	105
31	1
32	129
33	27
34	37
35	23
36	191
37	1
38	41
39	31
40	185
41	1
42	141
43	1
44	117
45	99
46	49
47	1
48	325
49	20
50	117
51	39
52	137
53	1
54	237
55	31
56	253
57	43
58	61
59	1
60	405
61	1
62	65
63	131
64	321
65	35
66	213
67	1
68	177
69	51
70	209
71	1
72	579
73	1
74	77
75	145
76	197
77	35
78	249
79	1
80	521

[0, 1, 1, 5, 1, 9, 1, 17, 8, 13, 1, 37, 1, 17, 15, 49, 1, 51, 1, 57, 19, 25, 1, 117, 14, 29, 43, 77, 1, 105, 1, 129, 27, 37, 23, 191, 1, 41, 31, 185, 1, 141, 1, 117, 99, 49, 1, 325, 20, 117, 39, 137, 1, 237, 31, 253, 43, 61, 1, 405, 1, 65, 131, 321, 35, 213, 1, 177, 51, 209, 1, 579, 1, 77, 145, 197, 35, 249, 1, 521]

cp's OEIS Frontend

A348980 a(n) = Sum_{d|n} d * A322582(n/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	5
5	1
6	9
7	1
8	17
9	8
10	13
11	1
12	37
13	1
14	17
15	15
16	49
17	1
18	51
19	1
20	57
21	19
22	25
23	1
24	117
25	14
26	29
27	43
28	77
29	1
30	105
31	1
32	129
33	27
34	37
35	23
36	191
37	1
38	41
39	31
40	185
41	1
42	141
43	1
44	117
45	99
46	49
47	1
48	325
49	20
50	117
51	39
52	137
53	1
54	237
55	31
56	253
57	43
58	61
59	1
60	405
61	1
62	65
63	131
64	321
65	35
66	213
67	1
68	177
69	51
70	209
71	1
72	579
73	1
74	77
75	145
76	197
77	35
78	249
79	1
80	521

n	a(n)
1	0
2	1
3	1
4	5
5	1
6	9
7	1
8	17
9	8
10	13
11	1
12	37
13	1
14	17
15	15
16	49
17	1
18	51
19	1
20	57
21	19
22	25
23	1
24	117
25	14
26	29
27	43
28	77
29	1
30	105
31	1
32	129
33	27
34	37
35	23
36	191
37	1
38	41
39	31
40	185
41	1
42	141
43	1
44	117
45	99
46	49
47	1
48	325
49	20
50	117
51	39
52	137
53	1
54	237
55	31
56	253
57	43
58	61
59	1
60	405
61	1
62	65
63	131
64	321
65	35
66	213
67	1
68	177
69	51
70	209
71	1
72	579
73	1
74	77
75	145
76	197
77	35
78	249
79	1
80	521

n	a(n)
1	0
2	1
3	1
4	5
5	1
6	9
7	1
8	17
9	8
10	13
11	1
12	37
13	1
14	17
15	15
16	49
17	1
18	51
19	1
20	57
21	19
22	25
23	1
24	117
25	14
26	29
27	43
28	77
29	1
30	105
31	1
32	129
33	27
34	37
35	23
36	191
37	1
38	41
39	31
40	185
41	1
42	141
43	1
44	117
45	99
46	49
47	1
48	325
49	20
50	117
51	39
52	137
53	1
54	237
55	31
56	253
57	43
58	61
59	1
60	405
61	1
62	65
63	131
64	321
65	35
66	213
67	1
68	177
69	51
70	209
71	1
72	579
73	1
74	77
75	145
76	197
77	35
78	249
79	1
80	521