A373748 - cp's OEIS frontend

A373748 Triangle read by rows: T(n, k) is k if k is a quadratic residue modulo n, otherwise is -k and is a quadratic nonresidue modulo n. T(0, 0) = 0 by convention.

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

[0, 0, 1, 0, 1, 2, 0, 1, -2, 3, 0, 1, -2, -3, 4, 0, 1, -2, -3, 4, 5, 0, 1, -2, 3, 4, -5, 6, 0, 1, 2, -3, 4, -5, -6, 7, 0, 1, -2, -3, 4, -5, -6, -7, 8, 0, 1, -2, -3, 4, -5, -6, 7, -8, 9, 0, 1, -2, -3, 4, 5, 6, -7, -8, 9, 10, 0, 1, -2, 3, 4, 5, -6, -7, -8, 9, -10, 11, 0, 1, -2, -3, 4, -5, -6, -7, -8, 9, -10, -11, 12]

cp's OEIS Frontend

A373748 Triangle read by rows: T(n, k) is k if k is a quadratic residue modulo n, otherwise is -k and is a quadratic nonresidue modulo n. T(0, 0) = 0 by convention.

Table of values

List of values

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

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

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