A360016 - cp's OEIS frontend

A360016 Number of partitions of 4n into four odd primes (p_1, p_2, p_3, p_4) (p_1 < p_2 <= p_3 < p_4 and p_1 + p_4 = p_2 + p_3 = 2n) such that (p_1, p_2) and (p_3, p_4) are consecutive pairs of prime numbers with the same difference, d = p_2 - p_1 = p_4 - p_3, and (p_1, p_3), (p_2, p_4) are also consecutive pairs of prime numbers with the same difference, D = p_3 - p_1 = p_4 - p_2.

n	a(n)
1	0
2	0
3	0
4	0
5	1
6	0
7	1
8	0
9	1
10	0
11	0
12	1
13	0
14	0
15	1
16	0
17	0
18	1
19	0
20	0
21	0
22	0
23	1
24	1
25	0
26	0
27	0
28	0
29	0
30	3
31	0
32	0
33	0
34	0
35	0
36	1
37	1
38	0
39	0
40	0
41	0
42	1
43	0
44	0
45	1
46	0
47	1
48	0
49	0
50	0
51	1
52	0
53	1
54	0
55	0
56	0
57	2
58	0
59	1
60	1
61	0
62	0
63	0
64	0
65	0
66	1
67	1
68	0
69	0
70	0
71	0
72	0
73	1
74	0
75	1
76	0
77	0
78	1
79	0
80	0
81	1
82	0
83	0
84	1
85	0
86	0
87	1
88	0
89	0
90	1
91	0
92	0
93	1
94	0
95	0
96	0
97	0
98	0
99	1
100	0
101	0
102	1
103	0
104	0
105	1
106	0
107	0
108	3
109	0

[0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 3, 0]

cp's OEIS Frontend

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	0
5	1
6	0
7	1
8	0
9	1
10	0
11	0
12	1
13	0
14	0
15	1
16	0
17	0
18	1
19	0
20	0
21	0
22	0
23	1
24	1
25	0
26	0
27	0
28	0
29	0
30	3
31	0
32	0
33	0
34	0
35	0
36	1
37	1
38	0
39	0
40	0
41	0
42	1
43	0
44	0
45	1
46	0
47	1
48	0
49	0
50	0
51	1
52	0
53	1
54	0
55	0
56	0
57	2
58	0
59	1
60	1
61	0
62	0
63	0
64	0
65	0
66	1
67	1
68	0
69	0
70	0
71	0
72	0
73	1
74	0
75	1
76	0
77	0
78	1
79	0
80	0
81	1
82	0
83	0
84	1
85	0
86	0
87	1
88	0
89	0
90	1
91	0
92	0
93	1
94	0
95	0
96	0
97	0
98	0
99	1
100	0
101	0
102	1
103	0
104	0
105	1
106	0
107	0
108	3
109	0

n	a(n)
1	0
2	0
3	0
4	0
5	1
6	0
7	1
8	0
9	1
10	0
11	0
12	1
13	0
14	0
15	1
16	0
17	0
18	1
19	0
20	0
21	0
22	0
23	1
24	1
25	0
26	0
27	0
28	0
29	0
30	3
31	0
32	0
33	0
34	0
35	0
36	1
37	1
38	0
39	0
40	0
41	0
42	1
43	0
44	0
45	1
46	0
47	1
48	0
49	0
50	0
51	1
52	0
53	1
54	0
55	0
56	0
57	2
58	0
59	1
60	1
61	0
62	0
63	0
64	0
65	0
66	1
67	1
68	0
69	0
70	0
71	0
72	0
73	1
74	0
75	1
76	0
77	0
78	1
79	0
80	0
81	1
82	0
83	0
84	1
85	0
86	0
87	1
88	0
89	0
90	1
91	0
92	0
93	1
94	0
95	0
96	0
97	0
98	0
99	1
100	0
101	0
102	1
103	0
104	0
105	1
106	0
107	0
108	3
109	0

n	a(n)
1	0
2	0
3	0
4	0
5	1
6	0
7	1
8	0
9	1
10	0
11	0
12	1
13	0
14	0
15	1
16	0
17	0
18	1
19	0
20	0
21	0
22	0
23	1
24	1
25	0
26	0
27	0
28	0
29	0
30	3
31	0
32	0
33	0
34	0
35	0
36	1
37	1
38	0
39	0
40	0
41	0
42	1
43	0
44	0
45	1
46	0
47	1
48	0
49	0
50	0
51	1
52	0
53	1
54	0
55	0
56	0
57	2
58	0
59	1
60	1
61	0
62	0
63	0
64	0
65	0
66	1
67	1
68	0
69	0
70	0
71	0
72	0
73	1
74	0
75	1
76	0
77	0
78	1
79	0
80	0
81	1
82	0
83	0
84	1
85	0
86	0
87	1
88	0
89	0
90	1
91	0
92	0
93	1
94	0
95	0
96	0
97	0
98	0
99	1
100	0
101	0
102	1
103	0
104	0
105	1
106	0
107	0
108	3
109	0