A293909 - cp's OEIS frontend

A293909 Number of Goldbach partitions (p,q) of 2n, p <= q, such that both 2n-2 and 2n+2 have a Goldbach partition with a greater difference between its prime parts than q-p.

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

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

cp's OEIS Frontend

A293909 Number of Goldbach partitions (p,q) of 2n, p <= q, such that both 2n-2 and 2n+2 have a Goldbach partition with a greater difference between its prime parts than q-p.

Table of values

List of values

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

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

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