A325826 - cp's OEIS frontend

A325826 a(n) is the largest k <= sigma(n)-n such that k and (2n-sigma(n)) [= A033879(n)] are relatively prime.

n	a(n)
1	0
2	1
3	1
4	3
5	1
6	1
7	1
8	7
9	4
10	7
11	1
12	15
13	1
14	9
15	7
16	15
17	1
18	20
19	1
20	21
21	11
22	13
23	1
24	35
25	6
26	13
27	13
28	1
29	1
30	41
31	1
32	31
33	13
34	19
35	13
36	55
37	1
38	21
39	17
40	49
41	1
42	53
43	1
44	39
45	31
46	23
47	1
48	75
49	8
50	43
51	19
52	43
53	1
54	65
55	17
56	63
57	23
58	31
59	1
60	107
61	1
62	33
63	41
64	63
65	19
66	77
67	1
68	57
69	25
70	73
71	1
72	122
73	1
74	39
75	49
76	61
77	19
78	89
79	1
80	105
81	40
82	43
83	1
84	139
85	23
86	43
87	31
88	91
89	1
90	143
91	19
92	75

[0, 1, 1, 3, 1, 1, 1, 7, 4, 7, 1, 15, 1, 9, 7, 15, 1, 20, 1, 21, 11, 13, 1, 35, 6, 13, 13, 1, 1, 41, 1, 31, 13, 19, 13, 55, 1, 21, 17, 49, 1, 53, 1, 39, 31, 23, 1, 75, 8, 43, 19, 43, 1, 65, 17, 63, 23, 31, 1, 107, 1, 33, 41, 63, 19, 77, 1, 57, 25, 73, 1, 122, 1, 39, 49, 61, 19, 89, 1, 105, 40, 43, 1, 139, 23, 43, 31, 91, 1, 143, 19, 75]

cp's OEIS Frontend

A325826 a(n) is the largest k <= sigma(n)-n such that k and (2n-sigma(n)) [= A033879(n)] are relatively prime.

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	3
5	1
6	1
7	1
8	7
9	4
10	7
11	1
12	15
13	1
14	9
15	7
16	15
17	1
18	20
19	1
20	21
21	11
22	13
23	1
24	35
25	6
26	13
27	13
28	1
29	1
30	41
31	1
32	31
33	13
34	19
35	13
36	55
37	1
38	21
39	17
40	49
41	1
42	53
43	1
44	39
45	31
46	23
47	1
48	75
49	8
50	43
51	19
52	43
53	1
54	65
55	17
56	63
57	23
58	31
59	1
60	107
61	1
62	33
63	41
64	63
65	19
66	77
67	1
68	57
69	25
70	73
71	1
72	122
73	1
74	39
75	49
76	61
77	19
78	89
79	1
80	105
81	40
82	43
83	1
84	139
85	23
86	43
87	31
88	91
89	1
90	143
91	19
92	75

n	a(n)
1	0
2	1
3	1
4	3
5	1
6	1
7	1
8	7
9	4
10	7
11	1
12	15
13	1
14	9
15	7
16	15
17	1
18	20
19	1
20	21
21	11
22	13
23	1
24	35
25	6
26	13
27	13
28	1
29	1
30	41
31	1
32	31
33	13
34	19
35	13
36	55
37	1
38	21
39	17
40	49
41	1
42	53
43	1
44	39
45	31
46	23
47	1
48	75
49	8
50	43
51	19
52	43
53	1
54	65
55	17
56	63
57	23
58	31
59	1
60	107
61	1
62	33
63	41
64	63
65	19
66	77
67	1
68	57
69	25
70	73
71	1
72	122
73	1
74	39
75	49
76	61
77	19
78	89
79	1
80	105
81	40
82	43
83	1
84	139
85	23
86	43
87	31
88	91
89	1
90	143
91	19
92	75

n	a(n)
1	0
2	1
3	1
4	3
5	1
6	1
7	1
8	7
9	4
10	7
11	1
12	15
13	1
14	9
15	7
16	15
17	1
18	20
19	1
20	21
21	11
22	13
23	1
24	35
25	6
26	13
27	13
28	1
29	1
30	41
31	1
32	31
33	13
34	19
35	13
36	55
37	1
38	21
39	17
40	49
41	1
42	53
43	1
44	39
45	31
46	23
47	1
48	75
49	8
50	43
51	19
52	43
53	1
54	65
55	17
56	63
57	23
58	31
59	1
60	107
61	1
62	33
63	41
64	63
65	19
66	77
67	1
68	57
69	25
70	73
71	1
72	122
73	1
74	39
75	49
76	61
77	19
78	89
79	1
80	105
81	40
82	43
83	1
84	139
85	23
86	43
87	31
88	91
89	1
90	143
91	19
92	75