A351444 - cp's OEIS frontend

A351444 a(n) = n - A003958(n) + A003958(sigma(n)), where A003958 is multiplicative with a(p^e) = (p-1)^e and sigma is the sum of divisors function.

n	a(n)
1	1
2	3
3	2
4	9
5	3
6	6
7	2
8	15
9	17
10	10
11	3
12	16
13	7
14	10
15	9
16	45
17	5
18	38
19	5
20	28
21	10
22	16
23	3
24	30
25	39
26	26
27	23
28	28
29	9
30	26
31	2
32	55
33	15
34	26
35	13
36	104
37	19
38	28
39	21
40	52
41	13
42	32
43	11
44	46
45	53
46	28
47	3
48	76
49	49
50	94
51	23
52	76
53	9
54	54
55	19
56	58
57	25
58	46
59	9
60	64
61	31
62	34
63	51
64	189
65	29
66	50
67	17
68	76
69	27
70	50
71	5
72	164
73	37
74	74
75	73
76	82
77	19
78	66
79	5
80	136

[1, 3, 2, 9, 3, 6, 2, 15, 17, 10, 3, 16, 7, 10, 9, 45, 5, 38, 5, 28, 10, 16, 3, 30, 39, 26, 23, 28, 9, 26, 2, 55, 15, 26, 13, 104, 19, 28, 21, 52, 13, 32, 11, 46, 53, 28, 3, 76, 49, 94, 23, 76, 9, 54, 19, 58, 25, 46, 9, 64, 31, 34, 51, 189, 29, 50, 17, 76, 27, 50, 5, 164, 37, 74, 73, 82, 19, 66, 5, 136]

cp's OEIS Frontend

A351444 a(n) = n - A003958(n) + A003958(sigma(n)), where A003958 is multiplicative with a(p^e) = (p-1)^e and sigma is the sum of divisors function.

Table of values

List of values

n	a(n)
1	1
2	3
3	2
4	9
5	3
6	6
7	2
8	15
9	17
10	10
11	3
12	16
13	7
14	10
15	9
16	45
17	5
18	38
19	5
20	28
21	10
22	16
23	3
24	30
25	39
26	26
27	23
28	28
29	9
30	26
31	2
32	55
33	15
34	26
35	13
36	104
37	19
38	28
39	21
40	52
41	13
42	32
43	11
44	46
45	53
46	28
47	3
48	76
49	49
50	94
51	23
52	76
53	9
54	54
55	19
56	58
57	25
58	46
59	9
60	64
61	31
62	34
63	51
64	189
65	29
66	50
67	17
68	76
69	27
70	50
71	5
72	164
73	37
74	74
75	73
76	82
77	19
78	66
79	5
80	136

n	a(n)
1	1
2	3
3	2
4	9
5	3
6	6
7	2
8	15
9	17
10	10
11	3
12	16
13	7
14	10
15	9
16	45
17	5
18	38
19	5
20	28
21	10
22	16
23	3
24	30
25	39
26	26
27	23
28	28
29	9
30	26
31	2
32	55
33	15
34	26
35	13
36	104
37	19
38	28
39	21
40	52
41	13
42	32
43	11
44	46
45	53
46	28
47	3
48	76
49	49
50	94
51	23
52	76
53	9
54	54
55	19
56	58
57	25
58	46
59	9
60	64
61	31
62	34
63	51
64	189
65	29
66	50
67	17
68	76
69	27
70	50
71	5
72	164
73	37
74	74
75	73
76	82
77	19
78	66
79	5
80	136

n	a(n)
1	1
2	3
3	2
4	9
5	3
6	6
7	2
8	15
9	17
10	10
11	3
12	16
13	7
14	10
15	9
16	45
17	5
18	38
19	5
20	28
21	10
22	16
23	3
24	30
25	39
26	26
27	23
28	28
29	9
30	26
31	2
32	55
33	15
34	26
35	13
36	104
37	19
38	28
39	21
40	52
41	13
42	32
43	11
44	46
45	53
46	28
47	3
48	76
49	49
50	94
51	23
52	76
53	9
54	54
55	19
56	58
57	25
58	46
59	9
60	64
61	31
62	34
63	51
64	189
65	29
66	50
67	17
68	76
69	27
70	50
71	5
72	164
73	37
74	74
75	73
76	82
77	19
78	66
79	5
80	136