A348982 - cp's OEIS frontend

A348982 a(n) = Sum_{d|n} psi(n/d) * A322582(d), where psi is Dedekind psi (A001615), 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	6
5	1
6	11
7	1
8	22
9	9
10	15
11	1
12	52
13	1
14	19
15	17
16	66
17	1
18	69
19	1
20	76
21	21
22	27
23	1
24	176
25	15
26	31
27	51
28	100
29	1
30	145
31	1
32	178
33	29
34	39
35	25
36	288
37	1
38	43
39	33
40	264
41	1
42	189
43	1
44	148
45	123
46	51
47	1
48	508
49	21
50	145
51	41
52	172
53	1
54	339
55	33
56	352
57	45
58	63
59	1
60	632
61	1
62	67
63	159
64	450
65	37
66	277
67	1
68	220
69	53
70	265
71	1
72	924
73	1
74	79
75	175
76	244
77	37
78	321

[0, 1, 1, 6, 1, 11, 1, 22, 9, 15, 1, 52, 1, 19, 17, 66, 1, 69, 1, 76, 21, 27, 1, 176, 15, 31, 51, 100, 1, 145, 1, 178, 29, 39, 25, 288, 1, 43, 33, 264, 1, 189, 1, 148, 123, 51, 1, 508, 21, 145, 41, 172, 1, 339, 33, 352, 45, 63, 1, 632, 1, 67, 159, 450, 37, 277, 1, 220, 53, 265, 1, 924, 1, 79, 175, 244, 37, 321]

cp's OEIS Frontend

A348982 a(n) = Sum_{d|n} psi(n/d) * A322582(d), where psi is Dedekind psi (A001615), 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	6
5	1
6	11
7	1
8	22
9	9
10	15
11	1
12	52
13	1
14	19
15	17
16	66
17	1
18	69
19	1
20	76
21	21
22	27
23	1
24	176
25	15
26	31
27	51
28	100
29	1
30	145
31	1
32	178
33	29
34	39
35	25
36	288
37	1
38	43
39	33
40	264
41	1
42	189
43	1
44	148
45	123
46	51
47	1
48	508
49	21
50	145
51	41
52	172
53	1
54	339
55	33
56	352
57	45
58	63
59	1
60	632
61	1
62	67
63	159
64	450
65	37
66	277
67	1
68	220
69	53
70	265
71	1
72	924
73	1
74	79
75	175
76	244
77	37
78	321

n	a(n)
1	0
2	1
3	1
4	6
5	1
6	11
7	1
8	22
9	9
10	15
11	1
12	52
13	1
14	19
15	17
16	66
17	1
18	69
19	1
20	76
21	21
22	27
23	1
24	176
25	15
26	31
27	51
28	100
29	1
30	145
31	1
32	178
33	29
34	39
35	25
36	288
37	1
38	43
39	33
40	264
41	1
42	189
43	1
44	148
45	123
46	51
47	1
48	508
49	21
50	145
51	41
52	172
53	1
54	339
55	33
56	352
57	45
58	63
59	1
60	632
61	1
62	67
63	159
64	450
65	37
66	277
67	1
68	220
69	53
70	265
71	1
72	924
73	1
74	79
75	175
76	244
77	37
78	321

n	a(n)
1	0
2	1
3	1
4	6
5	1
6	11
7	1
8	22
9	9
10	15
11	1
12	52
13	1
14	19
15	17
16	66
17	1
18	69
19	1
20	76
21	21
22	27
23	1
24	176
25	15
26	31
27	51
28	100
29	1
30	145
31	1
32	178
33	29
34	39
35	25
36	288
37	1
38	43
39	33
40	264
41	1
42	189
43	1
44	148
45	123
46	51
47	1
48	508
49	21
50	145
51	41
52	172
53	1
54	339
55	33
56	352
57	45
58	63
59	1
60	632
61	1
62	67
63	159
64	450
65	37
66	277
67	1
68	220
69	53
70	265
71	1
72	924
73	1
74	79
75	175
76	244
77	37
78	321