A303051 - cp's OEIS frontend

A303051 Number of partitions of n into two distinct parts (p,q) such that p, q and p+q are all squarefree.

n	a(n)
1	0
2	0
3	1
4	0
5	1
6	1
7	2
8	0
9	0
10	1
11	2
12	0
13	3
14	2
15	3
16	0
17	4
18	0
19	3
20	0
21	4
22	4
23	4
24	0
25	0
26	4
27	0
28	0
29	5
30	4
31	5
32	0
33	6
34	6
35	6
36	0
37	7
38	6
39	7
40	0
41	8
42	7
43	9
44	0
45	0
46	7
47	8
48	0
49	0
50	0
51	7
52	0
53	10
54	0
55	7
56	0
57	10
58	10
59	9
60	0
61	11
62	10
63	0
64	0
65	11
66	10
67	11
68	0
69	12
70	12
71	11
72	0
73	13
74	13
75	0
76	0
77	14
78	12
79	14
80	0
81	0

[0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 3, 2, 3, 0, 4, 0, 3, 0, 4, 4, 4, 0, 0, 4, 0, 0, 5, 4, 5, 0, 6, 6, 6, 0, 7, 6, 7, 0, 8, 7, 9, 0, 0, 7, 8, 0, 0, 0, 7, 0, 10, 0, 7, 0, 10, 10, 9, 0, 11, 10, 0, 0, 11, 10, 11, 0, 12, 12, 11, 0, 13, 13, 0, 0, 14, 12, 14, 0, 0]

cp's OEIS Frontend

A303051 Number of partitions of n into two distinct parts (p,q) such that p, q and p+q are all squarefree.

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	0
5	1
6	1
7	2
8	0
9	0
10	1
11	2
12	0
13	3
14	2
15	3
16	0
17	4
18	0
19	3
20	0
21	4
22	4
23	4
24	0
25	0
26	4
27	0
28	0
29	5
30	4
31	5
32	0
33	6
34	6
35	6
36	0
37	7
38	6
39	7
40	0
41	8
42	7
43	9
44	0
45	0
46	7
47	8
48	0
49	0
50	0
51	7
52	0
53	10
54	0
55	7
56	0
57	10
58	10
59	9
60	0
61	11
62	10
63	0
64	0
65	11
66	10
67	11
68	0
69	12
70	12
71	11
72	0
73	13
74	13
75	0
76	0
77	14
78	12
79	14
80	0
81	0

n	a(n)
1	0
2	0
3	1
4	0
5	1
6	1
7	2
8	0
9	0
10	1
11	2
12	0
13	3
14	2
15	3
16	0
17	4
18	0
19	3
20	0
21	4
22	4
23	4
24	0
25	0
26	4
27	0
28	0
29	5
30	4
31	5
32	0
33	6
34	6
35	6
36	0
37	7
38	6
39	7
40	0
41	8
42	7
43	9
44	0
45	0
46	7
47	8
48	0
49	0
50	0
51	7
52	0
53	10
54	0
55	7
56	0
57	10
58	10
59	9
60	0
61	11
62	10
63	0
64	0
65	11
66	10
67	11
68	0
69	12
70	12
71	11
72	0
73	13
74	13
75	0
76	0
77	14
78	12
79	14
80	0
81	0

n	a(n)
1	0
2	0
3	1
4	0
5	1
6	1
7	2
8	0
9	0
10	1
11	2
12	0
13	3
14	2
15	3
16	0
17	4
18	0
19	3
20	0
21	4
22	4
23	4
24	0
25	0
26	4
27	0
28	0
29	5
30	4
31	5
32	0
33	6
34	6
35	6
36	0
37	7
38	6
39	7
40	0
41	8
42	7
43	9
44	0
45	0
46	7
47	8
48	0
49	0
50	0
51	7
52	0
53	10
54	0
55	7
56	0
57	10
58	10
59	9
60	0
61	11
62	10
63	0
64	0
65	11
66	10
67	11
68	0
69	12
70	12
71	11
72	0
73	13
74	13
75	0
76	0
77	14
78	12
79	14
80	0
81	0