A236344 - cp's OEIS frontend

A236344 a(n) = |{0 < k < n: m = phi(k)/2 + phi(n-k)/12 is an integer with 2^m + prime(m) 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	0
9	0
10	0
11	0
12	0
13	0
14	0
15	0
16	1
17	1
18	1
19	1
20	2
21	2
22	1
23	1
24	1
25	2
26	1
27	2
28	3
29	4
30	2
31	4
32	3
33	5
34	2
35	3
36	4
37	3
38	3
39	4
40	6
41	5
42	6
43	6
44	7
45	7
46	5
47	4
48	6
49	6
50	5
51	7
52	5
53	3
54	3
55	3
56	7
57	4
58	5
59	5
60	8
61	4
62	6
63	5
64	5
65	5
66	6
67	4
68	5
69	4
70	5
71	4
72	3
73	4
74	5
75	6
76	3
77	6
78	9
79	6
80	9
81	8
82	13
83	5
84	11
85	5
86	6
87	7
88	11
89	4
90	9
91	9
92	5
93	6
94	6
95	11
96	7
97	8
98	9
99	9
100	4

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

cp's OEIS Frontend

A236344 a(n) = |{0 < k < n: m = phi(k)/2 + phi(n-k)/12 is an integer with 2^m + prime(m) 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	0
9	0
10	0
11	0
12	0
13	0
14	0
15	0
16	1
17	1
18	1
19	1
20	2
21	2
22	1
23	1
24	1
25	2
26	1
27	2
28	3
29	4
30	2
31	4
32	3
33	5
34	2
35	3
36	4
37	3
38	3
39	4
40	6
41	5
42	6
43	6
44	7
45	7
46	5
47	4
48	6
49	6
50	5
51	7
52	5
53	3
54	3
55	3
56	7
57	4
58	5
59	5
60	8
61	4
62	6
63	5
64	5
65	5
66	6
67	4
68	5
69	4
70	5
71	4
72	3
73	4
74	5
75	6
76	3
77	6
78	9
79	6
80	9
81	8
82	13
83	5
84	11
85	5
86	6
87	7
88	11
89	4
90	9
91	9
92	5
93	6
94	6
95	11
96	7
97	8
98	9
99	9
100	4

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

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