A343713 - cp's OEIS frontend

A343713 Table read by rows: row n lists the residues of the triangular numbers modulo n.

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

[0, 0, 1, 0, 1, 0, 1, 2, 3, 0, 1, 3, 0, 1, 3, 4, 0, 1, 3, 6, 0, 1, 2, 3, 4, 5, 6, 7, 0, 1, 3, 6, 0, 1, 3, 5, 6, 8, 0, 1, 3, 4, 6, 10, 0, 1, 3, 4, 6, 7, 9, 10, 0, 1, 2, 3, 6, 8, 10, 0, 1, 3, 6, 7, 8, 10, 13, 0, 1, 3, 6, 10, 13, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]

cp's OEIS Frontend

A343713 Table read by rows: row n lists the residues of the triangular numbers modulo n.

Table of values

List of values

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

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

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