A061865 - cp's OEIS frontend

A061865 Triangle in which the k-th item in the n-th row (both starting from 1) is the number of ways in which we can add k distinct integers from 1 to n, in such a way that the sum is divisible by k.

n	a(n)
1	1
2	2
3	0
4	3
5	1
6	1
7	4
8	2
9	2
10	0
11	5
12	4
13	4
14	1
15	1
16	6
17	6
18	8
19	4
20	2
21	0
22	7
23	9
24	13
25	9
26	5
27	1
28	1
29	8
30	12
31	20
32	18
33	12
34	4
35	2
36	0
37	9
38	16
39	30
40	32
41	26
42	14
43	6
44	1
45	1
46	10
47	20
48	42
49	54
50	52
51	34
52	18
53	6
54	2
55	0
56	11
57	25
58	57
59	84
60	94
61	76
62	48
63	21
64	7
65	1
66	1
67	12
68	30
69	76
70	126
71	160
72	152
73	114
74	64
75	26
76	6
77	2
78	0
79	13
80	36
81	98
82	181
83	259
84	284
85	246
86	163
87	81
88	28
89	8
90	1
91	1

[1, 2, 0, 3, 1, 1, 4, 2, 2, 0, 5, 4, 4, 1, 1, 6, 6, 8, 4, 2, 0, 7, 9, 13, 9, 5, 1, 1, 8, 12, 20, 18, 12, 4, 2, 0, 9, 16, 30, 32, 26, 14, 6, 1, 1, 10, 20, 42, 54, 52, 34, 18, 6, 2, 0, 11, 25, 57, 84, 94, 76, 48, 21, 7, 1, 1, 12, 30, 76, 126, 160, 152, 114, 64, 26, 6, 2, 0, 13, 36, 98, 181, 259, 284, 246, 163, 81, 28, 8, 1, 1]

cp's OEIS Frontend

A061865 Triangle in which the k-th item in the n-th row (both starting from 1) is the number of ways in which we can add k distinct integers from 1 to n, in such a way that the sum is divisible by k.

Table of values

List of values

n	a(n)
1	1
2	2
3	0
4	3
5	1
6	1
7	4
8	2
9	2
10	0
11	5
12	4
13	4
14	1
15	1
16	6
17	6
18	8
19	4
20	2
21	0
22	7
23	9
24	13
25	9
26	5
27	1
28	1
29	8
30	12
31	20
32	18
33	12
34	4
35	2
36	0
37	9
38	16
39	30
40	32
41	26
42	14
43	6
44	1
45	1
46	10
47	20
48	42
49	54
50	52
51	34
52	18
53	6
54	2
55	0
56	11
57	25
58	57
59	84
60	94
61	76
62	48
63	21
64	7
65	1
66	1
67	12
68	30
69	76
70	126
71	160
72	152
73	114
74	64
75	26
76	6
77	2
78	0
79	13
80	36
81	98
82	181
83	259
84	284
85	246
86	163
87	81
88	28
89	8
90	1
91	1

n	a(n)
1	1
2	2
3	0
4	3
5	1
6	1
7	4
8	2
9	2
10	0
11	5
12	4
13	4
14	1
15	1
16	6
17	6
18	8
19	4
20	2
21	0
22	7
23	9
24	13
25	9
26	5
27	1
28	1
29	8
30	12
31	20
32	18
33	12
34	4
35	2
36	0
37	9
38	16
39	30
40	32
41	26
42	14
43	6
44	1
45	1
46	10
47	20
48	42
49	54
50	52
51	34
52	18
53	6
54	2
55	0
56	11
57	25
58	57
59	84
60	94
61	76
62	48
63	21
64	7
65	1
66	1
67	12
68	30
69	76
70	126
71	160
72	152
73	114
74	64
75	26
76	6
77	2
78	0
79	13
80	36
81	98
82	181
83	259
84	284
85	246
86	163
87	81
88	28
89	8
90	1
91	1

n	a(n)
1	1
2	2
3	0
4	3
5	1
6	1
7	4
8	2
9	2
10	0
11	5
12	4
13	4
14	1
15	1
16	6
17	6
18	8
19	4
20	2
21	0
22	7
23	9
24	13
25	9
26	5
27	1
28	1
29	8
30	12
31	20
32	18
33	12
34	4
35	2
36	0
37	9
38	16
39	30
40	32
41	26
42	14
43	6
44	1
45	1
46	10
47	20
48	42
49	54
50	52
51	34
52	18
53	6
54	2
55	0
56	11
57	25
58	57
59	84
60	94
61	76
62	48
63	21
64	7
65	1
66	1
67	12
68	30
69	76
70	126
71	160
72	152
73	114
74	64
75	26
76	6
77	2
78	0
79	13
80	36
81	98
82	181
83	259
84	284
85	246
86	163
87	81
88	28
89	8
90	1
91	1