A322528 - cp's OEIS frontend

A322528 Number of integer partitions of n whose parts all have the same number of prime factors (counted with multiplicity) and whose product of parts is a power of a squarefree number (A072774).

n	a(n)
0	1
1	1
2	2
3	2
4	3
5	3
6	4
7	3
8	5
9	4
10	7
11	2
12	7
13	4
14	7
15	7
16	9
17	3
18	10
19	5
20	12
21	9
22	8
23	6
24	14
25	10
26	12
27	10
28	14
29	11
30	20
31	13
32	18
33	13
34	16
35	16
36	25
37	16
38	19
39	20
40	26
41	18
42	30
43	19
44	27
45	26
46	27
47	22
48	38
49	30
50	37
51	28
52	38
53	32
54	43
55	37
56	46
57	40
58	47
59	40
60	66
61	49
62	58
63	56
64	64
65	56
66	73
67	58
68	76
69	70
70	85

[1, 1, 2, 2, 3, 3, 4, 3, 5, 4, 7, 2, 7, 4, 7, 7, 9, 3, 10, 5, 12, 9, 8, 6, 14, 10, 12, 10, 14, 11, 20, 13, 18, 13, 16, 16, 25, 16, 19, 20, 26, 18, 30, 19, 27, 26, 27, 22, 38, 30, 37, 28, 38, 32, 43, 37, 46, 40, 47, 40, 66, 49, 58, 56, 64, 56, 73, 58, 76, 70, 85]

cp's OEIS Frontend

A322528 Number of integer partitions of n whose parts all have the same number of prime factors (counted with multiplicity) and whose product of parts is a power of a squarefree number (A072774).

Table of values

List of values

n	a(n)
0	1
1	1
2	2
3	2
4	3
5	3
6	4
7	3
8	5
9	4
10	7
11	2
12	7
13	4
14	7
15	7
16	9
17	3
18	10
19	5
20	12
21	9
22	8
23	6
24	14
25	10
26	12
27	10
28	14
29	11
30	20
31	13
32	18
33	13
34	16
35	16
36	25
37	16
38	19
39	20
40	26
41	18
42	30
43	19
44	27
45	26
46	27
47	22
48	38
49	30
50	37
51	28
52	38
53	32
54	43
55	37
56	46
57	40
58	47
59	40
60	66
61	49
62	58
63	56
64	64
65	56
66	73
67	58
68	76
69	70
70	85

n	a(n)
0	1
1	1
2	2
3	2
4	3
5	3
6	4
7	3
8	5
9	4
10	7
11	2
12	7
13	4
14	7
15	7
16	9
17	3
18	10
19	5
20	12
21	9
22	8
23	6
24	14
25	10
26	12
27	10
28	14
29	11
30	20
31	13
32	18
33	13
34	16
35	16
36	25
37	16
38	19
39	20
40	26
41	18
42	30
43	19
44	27
45	26
46	27
47	22
48	38
49	30
50	37
51	28
52	38
53	32
54	43
55	37
56	46
57	40
58	47
59	40
60	66
61	49
62	58
63	56
64	64
65	56
66	73
67	58
68	76
69	70
70	85

n	a(n)
0	1
1	1
2	2
3	2
4	3
5	3
6	4
7	3
8	5
9	4
10	7
11	2
12	7
13	4
14	7
15	7
16	9
17	3
18	10
19	5
20	12
21	9
22	8
23	6
24	14
25	10
26	12
27	10
28	14
29	11
30	20
31	13
32	18
33	13
34	16
35	16
36	25
37	16
38	19
39	20
40	26
41	18
42	30
43	19
44	27
45	26
46	27
47	22
48	38
49	30
50	37
51	28
52	38
53	32
54	43
55	37
56	46
57	40
58	47
59	40
60	66
61	49
62	58
63	56
64	64
65	56
66	73
67	58
68	76
69	70
70	85