A316975 - cp's OEIS frontend

A316975 a(n) is the minimum number of occurrences of the same value (r0-r1+n) mod n for all pairs (r0,r1) of quadratic residues mod n.

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

[1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 3, 1, 3, 4, 1, 1, 4, 2, 5, 1, 2, 6, 6, 1, 2, 6, 2, 2, 7, 2, 8, 1, 3, 8, 2, 1, 9, 10, 3, 1, 10, 4, 11, 3, 1, 12, 12, 1, 8, 4, 4, 3, 13, 4, 3, 2, 5, 14, 15, 1, 15, 16, 2, 1, 3, 6, 17, 4, 6, 4, 18, 1, 18, 18, 2, 5, 6, 6, 20, 1, 4, 20]

cp's OEIS Frontend

A316975 a(n) is the minimum number of occurrences of the same value (r0-r1+n) mod n for all pairs (r0,r1) of quadratic residues mod n.

Table of values

List of values

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

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

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