A321347 - cp's OEIS frontend

A321347 Number of strict integer partitions of n containing no prime powers (including 1).

n	a(n)
0	1
1	1
2	0
3	0
4	0
5	0
6	1
7	1
8	0
9	0
10	1
11	1
12	1
13	1
14	1
15	2
16	2
17	1
18	2
19	2
20	2
21	4
22	4
23	2
24	3
25	4
26	4
27	5
28	6
29	5
30	6
31	7
32	7
33	9
34	10
35	10
36	13
37	12
38	11
39	15
40	17
41	16
42	19
43	20
44	20
45	25
46	28
47	26
48	30
49	33
50	35
51	41
52	43
53	42
54	50
55	55
56	57
57	64
58	67
59	67
60	79
61	86
62	87
63	97
64	105
65	109
66	124
67	131
68	135
69	151
70	163
71	169

[1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 4, 4, 2, 3, 4, 4, 5, 6, 5, 6, 7, 7, 9, 10, 10, 13, 12, 11, 15, 17, 16, 19, 20, 20, 25, 28, 26, 30, 33, 35, 41, 43, 42, 50, 55, 57, 64, 67, 67, 79, 86, 87, 97, 105, 109, 124, 131, 135, 151, 163, 169]

cp's OEIS Frontend

A321347 Number of strict integer partitions of n containing no prime powers (including 1).

Table of values

List of values

n	a(n)
0	1
1	1
2	0
3	0
4	0
5	0
6	1
7	1
8	0
9	0
10	1
11	1
12	1
13	1
14	1
15	2
16	2
17	1
18	2
19	2
20	2
21	4
22	4
23	2
24	3
25	4
26	4
27	5
28	6
29	5
30	6
31	7
32	7
33	9
34	10
35	10
36	13
37	12
38	11
39	15
40	17
41	16
42	19
43	20
44	20
45	25
46	28
47	26
48	30
49	33
50	35
51	41
52	43
53	42
54	50
55	55
56	57
57	64
58	67
59	67
60	79
61	86
62	87
63	97
64	105
65	109
66	124
67	131
68	135
69	151
70	163
71	169

n	a(n)
0	1
1	1
2	0
3	0
4	0
5	0
6	1
7	1
8	0
9	0
10	1
11	1
12	1
13	1
14	1
15	2
16	2
17	1
18	2
19	2
20	2
21	4
22	4
23	2
24	3
25	4
26	4
27	5
28	6
29	5
30	6
31	7
32	7
33	9
34	10
35	10
36	13
37	12
38	11
39	15
40	17
41	16
42	19
43	20
44	20
45	25
46	28
47	26
48	30
49	33
50	35
51	41
52	43
53	42
54	50
55	55
56	57
57	64
58	67
59	67
60	79
61	86
62	87
63	97
64	105
65	109
66	124
67	131
68	135
69	151
70	163
71	169

n	a(n)
0	1
1	1
2	0
3	0
4	0
5	0
6	1
7	1
8	0
9	0
10	1
11	1
12	1
13	1
14	1
15	2
16	2
17	1
18	2
19	2
20	2
21	4
22	4
23	2
24	3
25	4
26	4
27	5
28	6
29	5
30	6
31	7
32	7
33	9
34	10
35	10
36	13
37	12
38	11
39	15
40	17
41	16
42	19
43	20
44	20
45	25
46	28
47	26
48	30
49	33
50	35
51	41
52	43
53	42
54	50
55	55
56	57
57	64
58	67
59	67
60	79
61	86
62	87
63	97
64	105
65	109
66	124
67	131
68	135
69	151
70	163
71	169