A325132 - cp's OEIS frontend

A325132 Number of integer partitions of n where the multiplicity of each part k is at least prime(k).

n	a(n)
0	1
1	0
2	1
3	1
4	1
5	1
6	2
7	1
8	3
9	2
10	4
11	3
12	5
13	4
14	6
15	6
16	7
17	7
18	10
19	8
20	11
21	12
22	12
23	14
24	17
25	16
26	20
27	22
28	24
29	26
30	31
31	31
32	37
33	39
34	43
35	46
36	54
37	53
38	63
39	65
40	73
41	75
42	87
43	87
44	100
45	102
46	115
47	117
48	133
49	134
50	151
51	155
52	172
53	176
54	197
55	202
56	223
57	231
58	254
59	262
60	290
61	298
62	327
63	341
64	370

[1, 0, 1, 1, 1, 1, 2, 1, 3, 2, 4, 3, 5, 4, 6, 6, 7, 7, 10, 8, 11, 12, 12, 14, 17, 16, 20, 22, 24, 26, 31, 31, 37, 39, 43, 46, 54, 53, 63, 65, 73, 75, 87, 87, 100, 102, 115, 117, 133, 134, 151, 155, 172, 176, 197, 202, 223, 231, 254, 262, 290, 298, 327, 341, 370]

cp's OEIS Frontend

A325132 Number of integer partitions of n where the multiplicity of each part k is at least prime(k).

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	1
4	1
5	1
6	2
7	1
8	3
9	2
10	4
11	3
12	5
13	4
14	6
15	6
16	7
17	7
18	10
19	8
20	11
21	12
22	12
23	14
24	17
25	16
26	20
27	22
28	24
29	26
30	31
31	31
32	37
33	39
34	43
35	46
36	54
37	53
38	63
39	65
40	73
41	75
42	87
43	87
44	100
45	102
46	115
47	117
48	133
49	134
50	151
51	155
52	172
53	176
54	197
55	202
56	223
57	231
58	254
59	262
60	290
61	298
62	327
63	341
64	370

n	a(n)
0	1
1	0
2	1
3	1
4	1
5	1
6	2
7	1
8	3
9	2
10	4
11	3
12	5
13	4
14	6
15	6
16	7
17	7
18	10
19	8
20	11
21	12
22	12
23	14
24	17
25	16
26	20
27	22
28	24
29	26
30	31
31	31
32	37
33	39
34	43
35	46
36	54
37	53
38	63
39	65
40	73
41	75
42	87
43	87
44	100
45	102
46	115
47	117
48	133
49	134
50	151
51	155
52	172
53	176
54	197
55	202
56	223
57	231
58	254
59	262
60	290
61	298
62	327
63	341
64	370

n	a(n)
0	1
1	0
2	1
3	1
4	1
5	1
6	2
7	1
8	3
9	2
10	4
11	3
12	5
13	4
14	6
15	6
16	7
17	7
18	10
19	8
20	11
21	12
22	12
23	14
24	17
25	16
26	20
27	22
28	24
29	26
30	31
31	31
32	37
33	39
34	43
35	46
36	54
37	53
38	63
39	65
40	73
41	75
42	87
43	87
44	100
45	102
46	115
47	117
48	133
49	134
50	151
51	155
52	172
53	176
54	197
55	202
56	223
57	231
58	254
59	262
60	290
61	298
62	327
63	341
64	370