A325968 - cp's OEIS frontend

A325968 a(n) is the sum k of such a subset of divisors of n with the largest sum and for which n-k and n-(sigma(n)-k) are relatively prime.

n	a(n)
1	1
2	3
3	4
4	7
5	6
6	7
7	8
8	15
9	13
10	17
11	12
12	27
13	14
14	23
15	20
16	31
17	18
18	38
19	20
20	41
21	32
22	35
23	24
24	59
25	31
26	39
27	40
28	29
29	30
30	71
31	32
32	63
33	44
34	53
35	48
36	91
37	38
38	59
39	56
40	89
41	42
42	95
43	44
44	83
45	74
46	69
47	48
48	123
49	57
50	93
51	68
52	95
53	54
54	119
55	72
56	119
57	80
58	89
59	60
60	167
61	62
62	95
63	104
64	127
65	84
66	143
67	68
68	125
69	92
70	143
71	72
72	194
73	74
74	113
75	124
76	137
77	96
78	167
79	80
80	185
81	121
82	125

[1, 3, 4, 7, 6, 7, 8, 15, 13, 17, 12, 27, 14, 23, 20, 31, 18, 38, 20, 41, 32, 35, 24, 59, 31, 39, 40, 29, 30, 71, 32, 63, 44, 53, 48, 91, 38, 59, 56, 89, 42, 95, 44, 83, 74, 69, 48, 123, 57, 93, 68, 95, 54, 119, 72, 119, 80, 89, 60, 167, 62, 95, 104, 127, 84, 143, 68, 125, 92, 143, 72, 194, 74, 113, 124, 137, 96, 167, 80, 185, 121, 125]

cp's OEIS Frontend

A325968 a(n) is the sum k of such a subset of divisors of n with the largest sum and for which n-k and n-(sigma(n)-k) are relatively prime.

Table of values

List of values

n	a(n)
1	1
2	3
3	4
4	7
5	6
6	7
7	8
8	15
9	13
10	17
11	12
12	27
13	14
14	23
15	20
16	31
17	18
18	38
19	20
20	41
21	32
22	35
23	24
24	59
25	31
26	39
27	40
28	29
29	30
30	71
31	32
32	63
33	44
34	53
35	48
36	91
37	38
38	59
39	56
40	89
41	42
42	95
43	44
44	83
45	74
46	69
47	48
48	123
49	57
50	93
51	68
52	95
53	54
54	119
55	72
56	119
57	80
58	89
59	60
60	167
61	62
62	95
63	104
64	127
65	84
66	143
67	68
68	125
69	92
70	143
71	72
72	194
73	74
74	113
75	124
76	137
77	96
78	167
79	80
80	185
81	121
82	125

n	a(n)
1	1
2	3
3	4
4	7
5	6
6	7
7	8
8	15
9	13
10	17
11	12
12	27
13	14
14	23
15	20
16	31
17	18
18	38
19	20
20	41
21	32
22	35
23	24
24	59
25	31
26	39
27	40
28	29
29	30
30	71
31	32
32	63
33	44
34	53
35	48
36	91
37	38
38	59
39	56
40	89
41	42
42	95
43	44
44	83
45	74
46	69
47	48
48	123
49	57
50	93
51	68
52	95
53	54
54	119
55	72
56	119
57	80
58	89
59	60
60	167
61	62
62	95
63	104
64	127
65	84
66	143
67	68
68	125
69	92
70	143
71	72
72	194
73	74
74	113
75	124
76	137
77	96
78	167
79	80
80	185
81	121
82	125

n	a(n)
1	1
2	3
3	4
4	7
5	6
6	7
7	8
8	15
9	13
10	17
11	12
12	27
13	14
14	23
15	20
16	31
17	18
18	38
19	20
20	41
21	32
22	35
23	24
24	59
25	31
26	39
27	40
28	29
29	30
30	71
31	32
32	63
33	44
34	53
35	48
36	91
37	38
38	59
39	56
40	89
41	42
42	95
43	44
44	83
45	74
46	69
47	48
48	123
49	57
50	93
51	68
52	95
53	54
54	119
55	72
56	119
57	80
58	89
59	60
60	167
61	62
62	95
63	104
64	127
65	84
66	143
67	68
68	125
69	92
70	143
71	72
72	194
73	74
74	113
75	124
76	137
77	96
78	167
79	80
80	185
81	121
82	125