A218754 - cp's OEIS frontend

A218754 Number of ways to write n=p+q(3+(-1)^n)/2 with q<=n/2 and p, q, p^2+3pq+q^2 all prime.

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	1
8	1
9	1
10	0
11	1
12	1
13	1
14	1
15	1
16	1
17	3
18	2
19	1
20	1
21	1
22	2
23	2
24	1
25	3
26	1
27	3
28	1
29	1
30	2
31	1
32	0
33	3
34	3
35	2
36	3
37	3
38	0
39	3
40	0
41	3
42	2
43	1
44	1
45	4
46	1
47	2
48	2
49	1
50	2
51	0
52	2
53	2
54	2
55	3
56	0
57	4
58	1
59	1
60	2
61	0
62	1
63	2
64	3
65	5
66	0
67	2
68	1
69	3
70	4
71	1
72	1
73	2
74	2
75	6
76	2
77	2
78	4
79	1
80	2
81	3
82	2
83	3
84	3
85	3
86	2
87	4
88	1
89	2
90	5
91	0
92	3
93	4
94	2
95	3
96	4
97	3
98	1
99	4
100	3

[0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 2, 2, 1, 3, 1, 3, 1, 1, 2, 1, 0, 3, 3, 2, 3, 3, 0, 3, 0, 3, 2, 1, 1, 4, 1, 2, 2, 1, 2, 0, 2, 2, 2, 3, 0, 4, 1, 1, 2, 0, 1, 2, 3, 5, 0, 2, 1, 3, 4, 1, 1, 2, 2, 6, 2, 2, 4, 1, 2, 3, 2, 3, 3, 3, 2, 4, 1, 2, 5, 0, 3, 4, 2, 3, 4, 3, 1, 4, 3]

cp's OEIS Frontend

A218754 Number of ways to write n=p+q(3+(-1)^n)/2 with q<=n/2 and p, q, p^2+3pq+q^2 all prime.

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	1
8	1
9	1
10	0
11	1
12	1
13	1
14	1
15	1
16	1
17	3
18	2
19	1
20	1
21	1
22	2
23	2
24	1
25	3
26	1
27	3
28	1
29	1
30	2
31	1
32	0
33	3
34	3
35	2
36	3
37	3
38	0
39	3
40	0
41	3
42	2
43	1
44	1
45	4
46	1
47	2
48	2
49	1
50	2
51	0
52	2
53	2
54	2
55	3
56	0
57	4
58	1
59	1
60	2
61	0
62	1
63	2
64	3
65	5
66	0
67	2
68	1
69	3
70	4
71	1
72	1
73	2
74	2
75	6
76	2
77	2
78	4
79	1
80	2
81	3
82	2
83	3
84	3
85	3
86	2
87	4
88	1
89	2
90	5
91	0
92	3
93	4
94	2
95	3
96	4
97	3
98	1
99	4
100	3

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	1
8	1
9	1
10	0
11	1
12	1
13	1
14	1
15	1
16	1
17	3
18	2
19	1
20	1
21	1
22	2
23	2
24	1
25	3
26	1
27	3
28	1
29	1
30	2
31	1
32	0
33	3
34	3
35	2
36	3
37	3
38	0
39	3
40	0
41	3
42	2
43	1
44	1
45	4
46	1
47	2
48	2
49	1
50	2
51	0
52	2
53	2
54	2
55	3
56	0
57	4
58	1
59	1
60	2
61	0
62	1
63	2
64	3
65	5
66	0
67	2
68	1
69	3
70	4
71	1
72	1
73	2
74	2
75	6
76	2
77	2
78	4
79	1
80	2
81	3
82	2
83	3
84	3
85	3
86	2
87	4
88	1
89	2
90	5
91	0
92	3
93	4
94	2
95	3
96	4
97	3
98	1
99	4
100	3

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	1
8	1
9	1
10	0
11	1
12	1
13	1
14	1
15	1
16	1
17	3
18	2
19	1
20	1
21	1
22	2
23	2
24	1
25	3
26	1
27	3
28	1
29	1
30	2
31	1
32	0
33	3
34	3
35	2
36	3
37	3
38	0
39	3
40	0
41	3
42	2
43	1
44	1
45	4
46	1
47	2
48	2
49	1
50	2
51	0
52	2
53	2
54	2
55	3
56	0
57	4
58	1
59	1
60	2
61	0
62	1
63	2
64	3
65	5
66	0
67	2
68	1
69	3
70	4
71	1
72	1
73	2
74	2
75	6
76	2
77	2
78	4
79	1
80	2
81	3
82	2
83	3
84	3
85	3
86	2
87	4
88	1
89	2
90	5
91	0
92	3
93	4
94	2
95	3
96	4
97	3
98	1
99	4
100	3