A353398 - cp's OEIS frontend

A353398 Number of integer partitions of n where the product of multiplicities equals the product of prime shadows of the parts.

n	a(n)
0	1
1	1
2	0
3	0
4	1
5	1
6	1
7	2
8	1
9	2
10	1
11	2
12	6
13	5
14	4
15	4
16	6
17	6
18	8
19	8
20	13
21	16
22	13
23	16
24	18
25	16
26	20
27	21
28	27
29	30
30	27
31	33
32	41
33	44
34	51
35	48
36	58
37	61
38	66
39	66
40	74
41	83
42	86
43	99
44	102
45	111
46	115
47	126
48	137
49	147
50	156

[1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 6, 5, 4, 4, 6, 6, 8, 8, 13, 16, 13, 16, 18, 16, 20, 21, 27, 30, 27, 33, 41, 44, 51, 48, 58, 61, 66, 66, 74, 83, 86, 99, 102, 111, 115, 126, 137, 147, 156]

cp's OEIS Frontend

A353398 Number of integer partitions of n where the product of multiplicities equals the product of prime shadows of the parts.

Table of values

List of values

n	a(n)
0	1
1	1
2	0
3	0
4	1
5	1
6	1
7	2
8	1
9	2
10	1
11	2
12	6
13	5
14	4
15	4
16	6
17	6
18	8
19	8
20	13
21	16
22	13
23	16
24	18
25	16
26	20
27	21
28	27
29	30
30	27
31	33
32	41
33	44
34	51
35	48
36	58
37	61
38	66
39	66
40	74
41	83
42	86
43	99
44	102
45	111
46	115
47	126
48	137
49	147
50	156

n	a(n)
0	1
1	1
2	0
3	0
4	1
5	1
6	1
7	2
8	1
9	2
10	1
11	2
12	6
13	5
14	4
15	4
16	6
17	6
18	8
19	8
20	13
21	16
22	13
23	16
24	18
25	16
26	20
27	21
28	27
29	30
30	27
31	33
32	41
33	44
34	51
35	48
36	58
37	61
38	66
39	66
40	74
41	83
42	86
43	99
44	102
45	111
46	115
47	126
48	137
49	147
50	156

n	a(n)
0	1
1	1
2	0
3	0
4	1
5	1
6	1
7	2
8	1
9	2
10	1
11	2
12	6
13	5
14	4
15	4
16	6
17	6
18	8
19	8
20	13
21	16
22	13
23	16
24	18
25	16
26	20
27	21
28	27
29	30
30	27
31	33
32	41
33	44
34	51
35	48
36	58
37	61
38	66
39	66
40	74
41	83
42	86
43	99
44	102
45	111
46	115
47	126
48	137
49	147
50	156