A302986 - cp's OEIS frontend

A302986 Number of partitions of n into two distinct parts (p,q) such that p, q and |q-p| are all squarefree.

n	a(n)
1	0
2	0
3	1
4	1
5	1
6	0
7	2
8	2
9	2
10	0
11	1
12	2
13	2
14	0
15	3
16	3
17	4
18	0
19	2
20	3
21	3
22	0
23	4
24	4
25	5
26	0
27	4
28	3
29	4
30	0
31	4
32	5
33	5
34	0
35	4
36	7
37	5
38	0
39	6
40	6
41	7
42	0
43	8
44	7
45	9
46	0
47	6
48	7
49	8
50	0
51	5
52	7
53	7
54	0
55	6
56	6
57	8
58	0
59	8
60	7
61	9
62	0
63	11
64	7
65	9
66	0
67	8
68	10
69	8
70	0
71	10
72	13
73	12
74	0
75	10
76	11
77	11
78	0
79	11
80	11
81	15
82	0
83	9

[0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 3, 3, 4, 0, 2, 3, 3, 0, 4, 4, 5, 0, 4, 3, 4, 0, 4, 5, 5, 0, 4, 7, 5, 0, 6, 6, 7, 0, 8, 7, 9, 0, 6, 7, 8, 0, 5, 7, 7, 0, 6, 6, 8, 0, 8, 7, 9, 0, 11, 7, 9, 0, 8, 10, 8, 0, 10, 13, 12, 0, 10, 11, 11, 0, 11, 11, 15, 0, 9]

cp's OEIS Frontend

A302986 Number of partitions of n into two distinct parts (p,q) such that p, q and |q-p| are all squarefree.

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	1
5	1
6	0
7	2
8	2
9	2
10	0
11	1
12	2
13	2
14	0
15	3
16	3
17	4
18	0
19	2
20	3
21	3
22	0
23	4
24	4
25	5
26	0
27	4
28	3
29	4
30	0
31	4
32	5
33	5
34	0
35	4
36	7
37	5
38	0
39	6
40	6
41	7
42	0
43	8
44	7
45	9
46	0
47	6
48	7
49	8
50	0
51	5
52	7
53	7
54	0
55	6
56	6
57	8
58	0
59	8
60	7
61	9
62	0
63	11
64	7
65	9
66	0
67	8
68	10
69	8
70	0
71	10
72	13
73	12
74	0
75	10
76	11
77	11
78	0
79	11
80	11
81	15
82	0
83	9

n	a(n)
1	0
2	0
3	1
4	1
5	1
6	0
7	2
8	2
9	2
10	0
11	1
12	2
13	2
14	0
15	3
16	3
17	4
18	0
19	2
20	3
21	3
22	0
23	4
24	4
25	5
26	0
27	4
28	3
29	4
30	0
31	4
32	5
33	5
34	0
35	4
36	7
37	5
38	0
39	6
40	6
41	7
42	0
43	8
44	7
45	9
46	0
47	6
48	7
49	8
50	0
51	5
52	7
53	7
54	0
55	6
56	6
57	8
58	0
59	8
60	7
61	9
62	0
63	11
64	7
65	9
66	0
67	8
68	10
69	8
70	0
71	10
72	13
73	12
74	0
75	10
76	11
77	11
78	0
79	11
80	11
81	15
82	0
83	9

n	a(n)
1	0
2	0
3	1
4	1
5	1
6	0
7	2
8	2
9	2
10	0
11	1
12	2
13	2
14	0
15	3
16	3
17	4
18	0
19	2
20	3
21	3
22	0
23	4
24	4
25	5
26	0
27	4
28	3
29	4
30	0
31	4
32	5
33	5
34	0
35	4
36	7
37	5
38	0
39	6
40	6
41	7
42	0
43	8
44	7
45	9
46	0
47	6
48	7
49	8
50	0
51	5
52	7
53	7
54	0
55	6
56	6
57	8
58	0
59	8
60	7
61	9
62	0
63	11
64	7
65	9
66	0
67	8
68	10
69	8
70	0
71	10
72	13
73	12
74	0
75	10
76	11
77	11
78	0
79	11
80	11
81	15
82	0
83	9