A300584 - cp's OEIS frontend

A300584 Number of partitions of n into distinct prime power parts (not including 1) that do not divide n.

n	a(n)
0	1
1	0
2	0
3	0
4	0
5	1
6	0
7	2
8	1
9	2
10	1
11	4
12	1
13	5
14	2
15	4
16	3
17	8
18	2
19	11
20	4
21	6
22	6
23	18
24	3
25	13
26	10
27	10
28	8
29	35
30	7
31	42
32	9
33	20
34	24
35	22
36	10
37	72
38	33
39	35
40	11
41	102
42	21
43	120
44	29
45	26
46	65
47	161
48	16
49	117
50	56
51	93
52	52
53	246
54	43
55	113
56	36
57	139
58	160
59	370
60	39
61	422
62	208
63	102
64	62
65	216
66	110
67	613
68	145
69	305
70	130
71	780
72	57
73	878

[1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 4, 1, 5, 2, 4, 3, 8, 2, 11, 4, 6, 6, 18, 3, 13, 10, 10, 8, 35, 7, 42, 9, 20, 24, 22, 10, 72, 33, 35, 11, 102, 21, 120, 29, 26, 65, 161, 16, 117, 56, 93, 52, 246, 43, 113, 36, 139, 160, 370, 39, 422, 208, 102, 62, 216, 110, 613, 145, 305, 130, 780, 57, 878]

cp's OEIS Frontend

A300584 Number of partitions of n into distinct prime power parts (not including 1) that do not divide n.

Table of values

List of values

n	a(n)
0	1
1	0
2	0
3	0
4	0
5	1
6	0
7	2
8	1
9	2
10	1
11	4
12	1
13	5
14	2
15	4
16	3
17	8
18	2
19	11
20	4
21	6
22	6
23	18
24	3
25	13
26	10
27	10
28	8
29	35
30	7
31	42
32	9
33	20
34	24
35	22
36	10
37	72
38	33
39	35
40	11
41	102
42	21
43	120
44	29
45	26
46	65
47	161
48	16
49	117
50	56
51	93
52	52
53	246
54	43
55	113
56	36
57	139
58	160
59	370
60	39
61	422
62	208
63	102
64	62
65	216
66	110
67	613
68	145
69	305
70	130
71	780
72	57
73	878

n	a(n)
0	1
1	0
2	0
3	0
4	0
5	1
6	0
7	2
8	1
9	2
10	1
11	4
12	1
13	5
14	2
15	4
16	3
17	8
18	2
19	11
20	4
21	6
22	6
23	18
24	3
25	13
26	10
27	10
28	8
29	35
30	7
31	42
32	9
33	20
34	24
35	22
36	10
37	72
38	33
39	35
40	11
41	102
42	21
43	120
44	29
45	26
46	65
47	161
48	16
49	117
50	56
51	93
52	52
53	246
54	43
55	113
56	36
57	139
58	160
59	370
60	39
61	422
62	208
63	102
64	62
65	216
66	110
67	613
68	145
69	305
70	130
71	780
72	57
73	878

n	a(n)
0	1
1	0
2	0
3	0
4	0
5	1
6	0
7	2
8	1
9	2
10	1
11	4
12	1
13	5
14	2
15	4
16	3
17	8
18	2
19	11
20	4
21	6
22	6
23	18
24	3
25	13
26	10
27	10
28	8
29	35
30	7
31	42
32	9
33	20
34	24
35	22
36	10
37	72
38	33
39	35
40	11
41	102
42	21
43	120
44	29
45	26
46	65
47	161
48	16
49	117
50	56
51	93
52	52
53	246
54	43
55	113
56	36
57	139
58	160
59	370
60	39
61	422
62	208
63	102
64	62
65	216
66	110
67	613
68	145
69	305
70	130
71	780
72	57
73	878