A301941 - cp's OEIS frontend

A301941 a(n) is the smallest positive integer k such that n + k divides n^2 + k, or 0 if no such k exists.

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

[1, 1, 0, 3, 2, 5, 4, 7, 6, 3, 5, 11, 10, 13, 12, 6, 4, 17, 16, 19, 18, 7, 11, 23, 22, 5, 24, 12, 8, 29, 28, 31, 30, 11, 17, 35, 6, 37, 36, 18, 12, 41, 40, 43, 42, 10, 23, 47, 46, 7, 20, 24, 16, 53, 52, 11, 14, 19, 29, 59, 58, 61, 60, 30, 8, 15, 12, 67, 66, 23, 35, 71, 70, 73, 72, 36, 19, 56, 13, 79, 78, 9, 41, 83, 82, 17, 84]

cp's OEIS Frontend

A301941 a(n) is the smallest positive integer k such that n + k divides n^2 + k, or 0 if no such k exists.

Table of values

List of values

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

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

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