A322530 - cp's OEIS frontend

A322530 Number of integer partitions of n with no 1's whose product of parts is a squarefree number.

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	2
6	1
7	2
8	1
9	1
10	3
11	2
12	2
13	4
14	3
15	3
16	3
17	6
18	5
19	5
20	5
21	6
22	8
23	8
24	9
25	8
26	11
27	8
28	12
29	13
30	16
31	14
32	13
33	16
34	21
35	18
36	21
37	25
38	22
39	24
40	27
41	35
42	33
43	33
44	32
45	37
46	42
47	47
48	48
49	48
50	52
51	51
52	59
53	70
54	68
55	65
56	69
57	80
58	87
59	90
60	103
61	100
62	96
63	103
64	123
65	128
66	135
67	136
68	132
69	153

[1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 3, 2, 2, 4, 3, 3, 3, 6, 5, 5, 5, 6, 8, 8, 9, 8, 11, 8, 12, 13, 16, 14, 13, 16, 21, 18, 21, 25, 22, 24, 27, 35, 33, 33, 32, 37, 42, 47, 48, 48, 52, 51, 59, 70, 68, 65, 69, 80, 87, 90, 103, 100, 96, 103, 123, 128, 135, 136, 132, 153]

cp's OEIS Frontend

A322530 Number of integer partitions of n with no 1's whose product of parts is a squarefree number.

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	2
6	1
7	2
8	1
9	1
10	3
11	2
12	2
13	4
14	3
15	3
16	3
17	6
18	5
19	5
20	5
21	6
22	8
23	8
24	9
25	8
26	11
27	8
28	12
29	13
30	16
31	14
32	13
33	16
34	21
35	18
36	21
37	25
38	22
39	24
40	27
41	35
42	33
43	33
44	32
45	37
46	42
47	47
48	48
49	48
50	52
51	51
52	59
53	70
54	68
55	65
56	69
57	80
58	87
59	90
60	103
61	100
62	96
63	103
64	123
65	128
66	135
67	136
68	132
69	153

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	2
6	1
7	2
8	1
9	1
10	3
11	2
12	2
13	4
14	3
15	3
16	3
17	6
18	5
19	5
20	5
21	6
22	8
23	8
24	9
25	8
26	11
27	8
28	12
29	13
30	16
31	14
32	13
33	16
34	21
35	18
36	21
37	25
38	22
39	24
40	27
41	35
42	33
43	33
44	32
45	37
46	42
47	47
48	48
49	48
50	52
51	51
52	59
53	70
54	68
55	65
56	69
57	80
58	87
59	90
60	103
61	100
62	96
63	103
64	123
65	128
66	135
67	136
68	132
69	153

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	2
6	1
7	2
8	1
9	1
10	3
11	2
12	2
13	4
14	3
15	3
16	3
17	6
18	5
19	5
20	5
21	6
22	8
23	8
24	9
25	8
26	11
27	8
28	12
29	13
30	16
31	14
32	13
33	16
34	21
35	18
36	21
37	25
38	22
39	24
40	27
41	35
42	33
43	33
44	32
45	37
46	42
47	47
48	48
49	48
50	52
51	51
52	59
53	70
54	68
55	65
56	69
57	80
58	87
59	90
60	103
61	100
62	96
63	103
64	123
65	128
66	135
67	136
68	132
69	153