A072617 - cp's OEIS frontend

A072617 Number of essentially different ways of arranging numbers 1 through 2n around a circle so that the sum of each pair of adjacent numbers is prime, with the odd and even numbers in order in opposite directions.

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

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

cp's OEIS Frontend

A072617 Number of essentially different ways of arranging numbers 1 through 2n around a circle so that the sum of each pair of adjacent numbers is prime, with the odd and even numbers in order in opposite directions.

Table of values

List of values

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

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

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