A279536 - cp's OEIS frontend

A279536 Count the squarefree numbers appearing in each interval [p,q] where (p,q) is a Goldbach partition of 2n such that all primes from p to q (inclusive) appear as a part in some Goldbach partition of p+q = 2n, and then add the results.

n	a(n)
1	0
2	0
3	1
4	2
5	5
6	3
7	1
8	0
9	9
10	0
11	1
12	19
13	1
14	0
15	21
16	0
17	1
18	10
19	1
20	0
21	4
22	0
23	1
24	0
25	0
26	3
27	0
28	0
29	1
30	68
31	1
32	0
33	0
34	5
35	0
36	0
37	1
38	0
39	4
40	0
41	1
42	25
43	1
44	0
45	3
46	0
47	1
48	0
49	0
50	3
51	0
52	0
53	8
54	0
55	0
56	5
57	0
58	0
59	1
60	12
61	1
62	0
63	0
64	5
65	0
66	0
67	1
68	0
69	4
70	0
71	1
72	2
73	1
74	0
75	0
76	5
77	0
78	0
79	1
80	0
81	14
82	0
83	1
84	0
85	0
86	5
87	0
88	0
89	1
90	0

[0, 0, 1, 2, 5, 3, 1, 0, 9, 0, 1, 19, 1, 0, 21, 0, 1, 10, 1, 0, 4, 0, 1, 0, 0, 3, 0, 0, 1, 68, 1, 0, 0, 5, 0, 0, 1, 0, 4, 0, 1, 25, 1, 0, 3, 0, 1, 0, 0, 3, 0, 0, 8, 0, 0, 5, 0, 0, 1, 12, 1, 0, 0, 5, 0, 0, 1, 0, 4, 0, 1, 2, 1, 0, 0, 5, 0, 0, 1, 0, 14, 0, 1, 0, 0, 5, 0, 0, 1, 0]

cp's OEIS Frontend

A279536 Count the squarefree numbers appearing in each interval [p,q] where (p,q) is a Goldbach partition of 2n such that all primes from p to q (inclusive) appear as a part in some Goldbach partition of p+q = 2n, and then add the results.

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	2
5	5
6	3
7	1
8	0
9	9
10	0
11	1
12	19
13	1
14	0
15	21
16	0
17	1
18	10
19	1
20	0
21	4
22	0
23	1
24	0
25	0
26	3
27	0
28	0
29	1
30	68
31	1
32	0
33	0
34	5
35	0
36	0
37	1
38	0
39	4
40	0
41	1
42	25
43	1
44	0
45	3
46	0
47	1
48	0
49	0
50	3
51	0
52	0
53	8
54	0
55	0
56	5
57	0
58	0
59	1
60	12
61	1
62	0
63	0
64	5
65	0
66	0
67	1
68	0
69	4
70	0
71	1
72	2
73	1
74	0
75	0
76	5
77	0
78	0
79	1
80	0
81	14
82	0
83	1
84	0
85	0
86	5
87	0
88	0
89	1
90	0

n	a(n)
1	0
2	0
3	1
4	2
5	5
6	3
7	1
8	0
9	9
10	0
11	1
12	19
13	1
14	0
15	21
16	0
17	1
18	10
19	1
20	0
21	4
22	0
23	1
24	0
25	0
26	3
27	0
28	0
29	1
30	68
31	1
32	0
33	0
34	5
35	0
36	0
37	1
38	0
39	4
40	0
41	1
42	25
43	1
44	0
45	3
46	0
47	1
48	0
49	0
50	3
51	0
52	0
53	8
54	0
55	0
56	5
57	0
58	0
59	1
60	12
61	1
62	0
63	0
64	5
65	0
66	0
67	1
68	0
69	4
70	0
71	1
72	2
73	1
74	0
75	0
76	5
77	0
78	0
79	1
80	0
81	14
82	0
83	1
84	0
85	0
86	5
87	0
88	0
89	1
90	0

n	a(n)
1	0
2	0
3	1
4	2
5	5
6	3
7	1
8	0
9	9
10	0
11	1
12	19
13	1
14	0
15	21
16	0
17	1
18	10
19	1
20	0
21	4
22	0
23	1
24	0
25	0
26	3
27	0
28	0
29	1
30	68
31	1
32	0
33	0
34	5
35	0
36	0
37	1
38	0
39	4
40	0
41	1
42	25
43	1
44	0
45	3
46	0
47	1
48	0
49	0
50	3
51	0
52	0
53	8
54	0
55	0
56	5
57	0
58	0
59	1
60	12
61	1
62	0
63	0
64	5
65	0
66	0
67	1
68	0
69	4
70	0
71	1
72	2
73	1
74	0
75	0
76	5
77	0
78	0
79	1
80	0
81	14
82	0
83	1
84	0
85	0
86	5
87	0
88	0
89	1
90	0