A316440 - cp's OEIS frontend

A316440 Number of integer partitions of n such that every submultiset has an integer average.

n	a(n)
0	1
1	1
2	2
3	2
4	4
5	2
6	6
7	2
8	7
9	5
10	8
11	2
12	13
13	2
14	10
15	10
16	14
17	2
18	20
19	2
20	17
21	15
22	14
23	2
24	32
25	3
26	16
27	22
28	25
29	2
30	40
31	2
32	27
33	30
34	20
35	4
36	58
37	2
38	22
39	40
40	40
41	2
42	64
43	2
44	40
45	53
46	26
47	2
48	93
49	3
50	30
51	64
52	54
53	2
54	94
55	4
56	58
57	78
58	32
59	2
60	138
61	2
62	34
63	96
64	75
65	10
66	131
67	2
68	76
69	111
70	48
71	2
72	192
73	2
74	40
75	138
76	99

[1, 1, 2, 2, 4, 2, 6, 2, 7, 5, 8, 2, 13, 2, 10, 10, 14, 2, 20, 2, 17, 15, 14, 2, 32, 3, 16, 22, 25, 2, 40, 2, 27, 30, 20, 4, 58, 2, 22, 40, 40, 2, 64, 2, 40, 53, 26, 2, 93, 3, 30, 64, 54, 2, 94, 4, 58, 78, 32, 2, 138, 2, 34, 96, 75, 10, 131, 2, 76, 111, 48, 2, 192, 2, 40, 138, 99]

cp's OEIS Frontend

A316440 Number of integer partitions of n such that every submultiset has an integer average.

Table of values

List of values

n	a(n)
0	1
1	1
2	2
3	2
4	4
5	2
6	6
7	2
8	7
9	5
10	8
11	2
12	13
13	2
14	10
15	10
16	14
17	2
18	20
19	2
20	17
21	15
22	14
23	2
24	32
25	3
26	16
27	22
28	25
29	2
30	40
31	2
32	27
33	30
34	20
35	4
36	58
37	2
38	22
39	40
40	40
41	2
42	64
43	2
44	40
45	53
46	26
47	2
48	93
49	3
50	30
51	64
52	54
53	2
54	94
55	4
56	58
57	78
58	32
59	2
60	138
61	2
62	34
63	96
64	75
65	10
66	131
67	2
68	76
69	111
70	48
71	2
72	192
73	2
74	40
75	138
76	99

n	a(n)
0	1
1	1
2	2
3	2
4	4
5	2
6	6
7	2
8	7
9	5
10	8
11	2
12	13
13	2
14	10
15	10
16	14
17	2
18	20
19	2
20	17
21	15
22	14
23	2
24	32
25	3
26	16
27	22
28	25
29	2
30	40
31	2
32	27
33	30
34	20
35	4
36	58
37	2
38	22
39	40
40	40
41	2
42	64
43	2
44	40
45	53
46	26
47	2
48	93
49	3
50	30
51	64
52	54
53	2
54	94
55	4
56	58
57	78
58	32
59	2
60	138
61	2
62	34
63	96
64	75
65	10
66	131
67	2
68	76
69	111
70	48
71	2
72	192
73	2
74	40
75	138
76	99

n	a(n)
0	1
1	1
2	2
3	2
4	4
5	2
6	6
7	2
8	7
9	5
10	8
11	2
12	13
13	2
14	10
15	10
16	14
17	2
18	20
19	2
20	17
21	15
22	14
23	2
24	32
25	3
26	16
27	22
28	25
29	2
30	40
31	2
32	27
33	30
34	20
35	4
36	58
37	2
38	22
39	40
40	40
41	2
42	64
43	2
44	40
45	53
46	26
47	2
48	93
49	3
50	30
51	64
52	54
53	2
54	94
55	4
56	58
57	78
58	32
59	2
60	138
61	2
62	34
63	96
64	75
65	10
66	131
67	2
68	76
69	111
70	48
71	2
72	192
73	2
74	40
75	138
76	99