A267632 - cp's OEIS frontend

A267632 Triangle T(n, k) read by rows: the k-th column of the n-th row lists the number of ways to select k distinct numbers (k >= 1) from [1..n] so that their sum is divisible by n.

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

[1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 4, 3, 1, 0, 1, 3, 5, 5, 3, 1, 1, 1, 3, 7, 9, 7, 3, 1, 0, 1, 4, 10, 14, 14, 10, 4, 1, 1, 1, 4, 12, 22, 26, 20, 12, 5, 1, 0, 1, 5, 15, 30, 42, 42, 30, 15, 5, 1, 1, 1, 5, 19, 42, 66, 76, 66, 43, 19, 5, 1, 0]

cp's OEIS Frontend

A267632 Triangle T(n, k) read by rows: the k-th column of the n-th row lists the number of ways to select k distinct numbers (k >= 1) from [1..n] so that their sum is divisible by n.

Table of values

List of values

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

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

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