A322968 - cp's OEIS frontend

A322968 Number of integer partitions of n with no ones whose parts are all powers of the same squarefree number.

n	a(n)
0	1
1	0
2	1
3	1
4	2
5	1
6	4
7	1
8	4
9	2
10	6
11	1
12	9
13	1
14	8
15	4
16	10
17	1
18	14
19	1
20	16
21	5
22	16
23	1
24	24
25	2
26	22
27	5
28	28
29	1
30	37
31	1
32	36
33	7
34	38
35	4
36	55
37	1
38	48
39	9
40	63
41	1
42	73
43	1
44	76
45	12
46	76
47	1
48	105
49	2
50	98
51	11
52	116
53	1
54	128
55	5
56	143
57	14
58	142
59	1
60	186
61	1
62	168
63	18
64	202
65	5
66	223
67	1
68	240
69	17
70	247
71	1
72	305
73	1
74	286
75	23

[1, 0, 1, 1, 2, 1, 4, 1, 4, 2, 6, 1, 9, 1, 8, 4, 10, 1, 14, 1, 16, 5, 16, 1, 24, 2, 22, 5, 28, 1, 37, 1, 36, 7, 38, 4, 55, 1, 48, 9, 63, 1, 73, 1, 76, 12, 76, 1, 105, 2, 98, 11, 116, 1, 128, 5, 143, 14, 142, 1, 186, 1, 168, 18, 202, 5, 223, 1, 240, 17, 247, 1, 305, 1, 286, 23]

cp's OEIS Frontend

A322968 Number of integer partitions of n with no ones whose parts are all powers of the same squarefree number.

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	1
4	2
5	1
6	4
7	1
8	4
9	2
10	6
11	1
12	9
13	1
14	8
15	4
16	10
17	1
18	14
19	1
20	16
21	5
22	16
23	1
24	24
25	2
26	22
27	5
28	28
29	1
30	37
31	1
32	36
33	7
34	38
35	4
36	55
37	1
38	48
39	9
40	63
41	1
42	73
43	1
44	76
45	12
46	76
47	1
48	105
49	2
50	98
51	11
52	116
53	1
54	128
55	5
56	143
57	14
58	142
59	1
60	186
61	1
62	168
63	18
64	202
65	5
66	223
67	1
68	240
69	17
70	247
71	1
72	305
73	1
74	286
75	23

n	a(n)
0	1
1	0
2	1
3	1
4	2
5	1
6	4
7	1
8	4
9	2
10	6
11	1
12	9
13	1
14	8
15	4
16	10
17	1
18	14
19	1
20	16
21	5
22	16
23	1
24	24
25	2
26	22
27	5
28	28
29	1
30	37
31	1
32	36
33	7
34	38
35	4
36	55
37	1
38	48
39	9
40	63
41	1
42	73
43	1
44	76
45	12
46	76
47	1
48	105
49	2
50	98
51	11
52	116
53	1
54	128
55	5
56	143
57	14
58	142
59	1
60	186
61	1
62	168
63	18
64	202
65	5
66	223
67	1
68	240
69	17
70	247
71	1
72	305
73	1
74	286
75	23

n	a(n)
0	1
1	0
2	1
3	1
4	2
5	1
6	4
7	1
8	4
9	2
10	6
11	1
12	9
13	1
14	8
15	4
16	10
17	1
18	14
19	1
20	16
21	5
22	16
23	1
24	24
25	2
26	22
27	5
28	28
29	1
30	37
31	1
32	36
33	7
34	38
35	4
36	55
37	1
38	48
39	9
40	63
41	1
42	73
43	1
44	76
45	12
46	76
47	1
48	105
49	2
50	98
51	11
52	116
53	1
54	128
55	5
56	143
57	14
58	142
59	1
60	186
61	1
62	168
63	18
64	202
65	5
66	223
67	1
68	240
69	17
70	247
71	1
72	305
73	1
74	286
75	23