A286222 - cp's OEIS frontend

A286222 Number of partitions of n into distinct parts with an odd number of prime divisors (counted with multiplicity).

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	2
6	0
7	2
8	2
9	1
10	3
11	2
12	3
13	4
14	3
15	5
16	4
17	5
18	7
19	6
20	10
21	8
22	10
23	12
24	10
25	15
26	14
27	16
28	20
29	18
30	25
31	25
32	28
33	32
34	31
35	38
36	38
37	44
38	49
39	51
40	59
41	61
42	68
43	75
44	79
45	89
46	93
47	103
48	113
49	120
50	137
51	141
52	157
53	168
54	176
55	200
56	205
57	229
58	245
59	260
60	289
61	303
62	332
63	356
64	376
65	411
66	433
67	470
68	507
69	535
70	587

[1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 3, 2, 3, 4, 3, 5, 4, 5, 7, 6, 10, 8, 10, 12, 10, 15, 14, 16, 20, 18, 25, 25, 28, 32, 31, 38, 38, 44, 49, 51, 59, 61, 68, 75, 79, 89, 93, 103, 113, 120, 137, 141, 157, 168, 176, 200, 205, 229, 245, 260, 289, 303, 332, 356, 376, 411, 433, 470, 507, 535, 587]

cp's OEIS Frontend

A286222 Number of partitions of n into distinct parts with an odd number of prime divisors (counted with multiplicity).

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	2
6	0
7	2
8	2
9	1
10	3
11	2
12	3
13	4
14	3
15	5
16	4
17	5
18	7
19	6
20	10
21	8
22	10
23	12
24	10
25	15
26	14
27	16
28	20
29	18
30	25
31	25
32	28
33	32
34	31
35	38
36	38
37	44
38	49
39	51
40	59
41	61
42	68
43	75
44	79
45	89
46	93
47	103
48	113
49	120
50	137
51	141
52	157
53	168
54	176
55	200
56	205
57	229
58	245
59	260
60	289
61	303
62	332
63	356
64	376
65	411
66	433
67	470
68	507
69	535
70	587

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	2
6	0
7	2
8	2
9	1
10	3
11	2
12	3
13	4
14	3
15	5
16	4
17	5
18	7
19	6
20	10
21	8
22	10
23	12
24	10
25	15
26	14
27	16
28	20
29	18
30	25
31	25
32	28
33	32
34	31
35	38
36	38
37	44
38	49
39	51
40	59
41	61
42	68
43	75
44	79
45	89
46	93
47	103
48	113
49	120
50	137
51	141
52	157
53	168
54	176
55	200
56	205
57	229
58	245
59	260
60	289
61	303
62	332
63	356
64	376
65	411
66	433
67	470
68	507
69	535
70	587

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	2
6	0
7	2
8	2
9	1
10	3
11	2
12	3
13	4
14	3
15	5
16	4
17	5
18	7
19	6
20	10
21	8
22	10
23	12
24	10
25	15
26	14
27	16
28	20
29	18
30	25
31	25
32	28
33	32
34	31
35	38
36	38
37	44
38	49
39	51
40	59
41	61
42	68
43	75
44	79
45	89
46	93
47	103
48	113
49	120
50	137
51	141
52	157
53	168
54	176
55	200
56	205
57	229
58	245
59	260
60	289
61	303
62	332
63	356
64	376
65	411
66	433
67	470
68	507
69	535
70	587