A322529 - cp's OEIS frontend

A322529 Number of integer partitions of n whose parts all have the same number of prime factors (counted with or without multiplicity) and whose product of parts is a squarefree number.

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

[1, 1, 2, 2, 1, 3, 2, 3, 2, 2, 4, 2, 3, 3, 4, 4, 4, 3, 5, 4, 5, 6, 6, 6, 6, 6, 8, 6, 7, 9, 8, 11, 8, 11, 11, 11, 12, 13, 13, 15, 13, 17, 17, 18, 18, 17, 20, 22, 21, 24, 24, 24, 26, 29, 28, 33, 30, 35, 34, 38, 38, 45, 42, 43, 45, 48, 52, 54, 55, 59, 59, 65, 65, 72, 73]

cp's OEIS Frontend

A322529 Number of integer partitions of n whose parts all have the same number of prime factors (counted with or without multiplicity) and whose product of parts is a squarefree number.

Table of values

List of values

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

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

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