A067539 - cp's OEIS frontend

A067539 Number of partitions of n in which, if the number of parts is k, the product of the parts is the k-th power of some positive integer.

n	a(n)
1	1
2	2
3	2
4	3
5	3
6	4
7	3
8	4
9	4
10	8
11	3
12	8
13	5
14	7
15	8
16	8
17	7
18	9
19	8
20	17
21	11
22	11
23	8
24	16
25	17
26	17
27	14
28	18
29	17
30	26
31	19
32	24
33	20
34	30
35	28
36	32
37	27
38	37
39	35
40	48
41	37
42	45
43	37
44	51
45	51
46	58
47	50
48	64
49	62
50	83
51	73
52	84
53	69
54	91
55	89
56	101
57	97
58	116
59	111
60	136
61	123
62	142
63	138
64	160
65	161
66	181
67	171
68	205
69	199
70	231
71	221

[1, 2, 2, 3, 3, 4, 3, 4, 4, 8, 3, 8, 5, 7, 8, 8, 7, 9, 8, 17, 11, 11, 8, 16, 17, 17, 14, 18, 17, 26, 19, 24, 20, 30, 28, 32, 27, 37, 35, 48, 37, 45, 37, 51, 51, 58, 50, 64, 62, 83, 73, 84, 69, 91, 89, 101, 97, 116, 111, 136, 123, 142, 138, 160, 161, 181, 171, 205, 199, 231, 221]

cp's OEIS Frontend

A067539 Number of partitions of n in which, if the number of parts is k, the product of the parts is the k-th power of some positive integer.

Table of values

List of values

n	a(n)
1	1
2	2
3	2
4	3
5	3
6	4
7	3
8	4
9	4
10	8
11	3
12	8
13	5
14	7
15	8
16	8
17	7
18	9
19	8
20	17
21	11
22	11
23	8
24	16
25	17
26	17
27	14
28	18
29	17
30	26
31	19
32	24
33	20
34	30
35	28
36	32
37	27
38	37
39	35
40	48
41	37
42	45
43	37
44	51
45	51
46	58
47	50
48	64
49	62
50	83
51	73
52	84
53	69
54	91
55	89
56	101
57	97
58	116
59	111
60	136
61	123
62	142
63	138
64	160
65	161
66	181
67	171
68	205
69	199
70	231
71	221

n	a(n)
1	1
2	2
3	2
4	3
5	3
6	4
7	3
8	4
9	4
10	8
11	3
12	8
13	5
14	7
15	8
16	8
17	7
18	9
19	8
20	17
21	11
22	11
23	8
24	16
25	17
26	17
27	14
28	18
29	17
30	26
31	19
32	24
33	20
34	30
35	28
36	32
37	27
38	37
39	35
40	48
41	37
42	45
43	37
44	51
45	51
46	58
47	50
48	64
49	62
50	83
51	73
52	84
53	69
54	91
55	89
56	101
57	97
58	116
59	111
60	136
61	123
62	142
63	138
64	160
65	161
66	181
67	171
68	205
69	199
70	231
71	221

n	a(n)
1	1
2	2
3	2
4	3
5	3
6	4
7	3
8	4
9	4
10	8
11	3
12	8
13	5
14	7
15	8
16	8
17	7
18	9
19	8
20	17
21	11
22	11
23	8
24	16
25	17
26	17
27	14
28	18
29	17
30	26
31	19
32	24
33	20
34	30
35	28
36	32
37	27
38	37
39	35
40	48
41	37
42	45
43	37
44	51
45	51
46	58
47	50
48	64
49	62
50	83
51	73
52	84
53	69
54	91
55	89
56	101
57	97
58	116
59	111
60	136
61	123
62	142
63	138
64	160
65	161
66	181
67	171
68	205
69	199
70	231
71	221