A309402 - cp's OEIS frontend

A309402 Number T(n,k) of nonempty subsets of [n] whose element sum is divisible by k; triangle T(n,k), n >= 1, 1 <= k <= n*(n+1)/2, read by rows.

n	a(n)
1	1
2	3
3	1
4	1
5	7
6	3
7	3
8	1
9	1
10	1
11	15
12	7
13	5
14	3
15	3
16	2
17	2
18	1
19	1
20	1
21	31
22	15
23	11
24	7
25	7
26	5
27	4
28	3
29	3
30	3
31	2
32	2
33	1
34	1
35	1
36	63
37	31
38	23
39	15
40	13
41	11
42	9
43	7
44	7
45	6
46	5
47	5
48	4
49	4
50	4
51	3
52	2
53	2
54	1
55	1
56	1
57	127
58	63
59	43
60	31
61	25
62	21
63	19
64	15
65	14
66	12
67	11
68	10
69	9
70	9
71	8
72	8
73	7
74	7
75	6
76	5
77	5
78	4
79	3
80	2
81	2
82	1
83	1
84	1

[1, 3, 1, 1, 7, 3, 3, 1, 1, 1, 15, 7, 5, 3, 3, 2, 2, 1, 1, 1, 31, 15, 11, 7, 7, 5, 4, 3, 3, 3, 2, 2, 1, 1, 1, 63, 31, 23, 15, 13, 11, 9, 7, 7, 6, 5, 5, 4, 4, 4, 3, 2, 2, 1, 1, 1, 127, 63, 43, 31, 25, 21, 19, 15, 14, 12, 11, 10, 9, 9, 8, 8, 7, 7, 6, 5, 5, 4, 3, 2, 2, 1, 1, 1]

cp's OEIS Frontend

A309402 Number T(n,k) of nonempty subsets of [n] whose element sum is divisible by k; triangle T(n,k), n >= 1, 1 <= k <= n*(n+1)/2, read by rows.

Table of values

List of values

n	a(n)
1	1
2	3
3	1
4	1
5	7
6	3
7	3
8	1
9	1
10	1
11	15
12	7
13	5
14	3
15	3
16	2
17	2
18	1
19	1
20	1
21	31
22	15
23	11
24	7
25	7
26	5
27	4
28	3
29	3
30	3
31	2
32	2
33	1
34	1
35	1
36	63
37	31
38	23
39	15
40	13
41	11
42	9
43	7
44	7
45	6
46	5
47	5
48	4
49	4
50	4
51	3
52	2
53	2
54	1
55	1
56	1
57	127
58	63
59	43
60	31
61	25
62	21
63	19
64	15
65	14
66	12
67	11
68	10
69	9
70	9
71	8
72	8
73	7
74	7
75	6
76	5
77	5
78	4
79	3
80	2
81	2
82	1
83	1
84	1

n	a(n)
1	1
2	3
3	1
4	1
5	7
6	3
7	3
8	1
9	1
10	1
11	15
12	7
13	5
14	3
15	3
16	2
17	2
18	1
19	1
20	1
21	31
22	15
23	11
24	7
25	7
26	5
27	4
28	3
29	3
30	3
31	2
32	2
33	1
34	1
35	1
36	63
37	31
38	23
39	15
40	13
41	11
42	9
43	7
44	7
45	6
46	5
47	5
48	4
49	4
50	4
51	3
52	2
53	2
54	1
55	1
56	1
57	127
58	63
59	43
60	31
61	25
62	21
63	19
64	15
65	14
66	12
67	11
68	10
69	9
70	9
71	8
72	8
73	7
74	7
75	6
76	5
77	5
78	4
79	3
80	2
81	2
82	1
83	1
84	1

n	a(n)
1	1
2	3
3	1
4	1
5	7
6	3
7	3
8	1
9	1
10	1
11	15
12	7
13	5
14	3
15	3
16	2
17	2
18	1
19	1
20	1
21	31
22	15
23	11
24	7
25	7
26	5
27	4
28	3
29	3
30	3
31	2
32	2
33	1
34	1
35	1
36	63
37	31
38	23
39	15
40	13
41	11
42	9
43	7
44	7
45	6
46	5
47	5
48	4
49	4
50	4
51	3
52	2
53	2
54	1
55	1
56	1
57	127
58	63
59	43
60	31
61	25
62	21
63	19
64	15
65	14
66	12
67	11
68	10
69	9
70	9
71	8
72	8
73	7
74	7
75	6
76	5
77	5
78	4
79	3
80	2
81	2
82	1
83	1
84	1