A236358 - cp's OEIS frontend

A236358 a(n) = |{0 < k < n: m = phi(k)/2 + phi(n-k)/12 is an integer with 2*3^m + 1 prime}|, where phi(.) is Euler's totient function.

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

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

cp's OEIS Frontend

A236358 a(n) = |{0 < k < n: m = phi(k)/2 + phi(n-k)/12 is an integer with 2*3^m + 1 prime}|, where phi(.) is Euler's totient function.

Table of values

List of values

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

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

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