A383766 - cp's OEIS frontend

A383766 a(n) is the number of numbers k (0 <= k < n) such that there exist solutions of x^3 + x == y^2 + 1 == k (mod n).

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

[1, 1, 2, 1, 2, 2, 3, 1, 4, 2, 3, 2, 6, 3, 4, 2, 5, 4, 7, 2, 6, 3, 8, 2, 10, 6, 11, 3, 12, 4, 11, 4, 6, 5, 6, 4, 13, 7, 12, 2, 11, 6, 16, 3, 8, 8, 13, 4, 21, 10, 10, 6, 17, 11, 6, 3, 14, 12, 18, 4, 20, 11, 12, 8, 12, 6, 27, 5, 16, 6, 26, 4, 27, 13, 20, 7, 9, 12, 26, 4, 31, 11, 25]

cp's OEIS Frontend

A383766 a(n) is the number of numbers k (0 <= k < n) such that there exist solutions of x^3 + x == y^2 + 1 == k (mod n).

Table of values

List of values

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

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

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