A236265 - cp's OEIS frontend

A236265 a(n) = |{0 < k < n: m = phi(k)/2 + phi(n-k)/8 is an integer with 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	0
17	0
18	0
19	0
20	0
21	0
22	2
23	1
24	2
25	2
26	1
27	2
28	2
29	4
30	3
31	5
32	1
33	3
34	2
35	3
36	3
37	4
38	5
39	9
40	5
41	5
42	6
43	7
44	8
45	8
46	8
47	5
48	7
49	5
50	8
51	8
52	5
53	5
54	9
55	8
56	6
57	6
58	9
59	8
60	10
61	6
62	9
63	4
64	6
65	9
66	9
67	8
68	10
69	9
70	6
71	10
72	7
73	8
74	12
75	11
76	10
77	8
78	11
79	9
80	12
81	7
82	13
83	12
84	13

[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 4, 3, 5, 1, 3, 2, 3, 3, 4, 5, 9, 5, 5, 6, 7, 8, 8, 8, 5, 7, 5, 8, 8, 5, 5, 9, 8, 6, 6, 9, 8, 10, 6, 9, 4, 6, 9, 9, 8, 10, 9, 6, 10, 7, 8, 12, 11, 10, 8, 11, 9, 12, 7, 13, 12, 13]

cp's OEIS Frontend

A236265 a(n) = |{0 < k < n: m = phi(k)/2 + phi(n-k)/8 is an integer with 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	0
17	0
18	0
19	0
20	0
21	0
22	2
23	1
24	2
25	2
26	1
27	2
28	2
29	4
30	3
31	5
32	1
33	3
34	2
35	3
36	3
37	4
38	5
39	9
40	5
41	5
42	6
43	7
44	8
45	8
46	8
47	5
48	7
49	5
50	8
51	8
52	5
53	5
54	9
55	8
56	6
57	6
58	9
59	8
60	10
61	6
62	9
63	4
64	6
65	9
66	9
67	8
68	10
69	9
70	6
71	10
72	7
73	8
74	12
75	11
76	10
77	8
78	11
79	9
80	12
81	7
82	13
83	12
84	13

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	0
17	0
18	0
19	0
20	0
21	0
22	2
23	1
24	2
25	2
26	1
27	2
28	2
29	4
30	3
31	5
32	1
33	3
34	2
35	3
36	3
37	4
38	5
39	9
40	5
41	5
42	6
43	7
44	8
45	8
46	8
47	5
48	7
49	5
50	8
51	8
52	5
53	5
54	9
55	8
56	6
57	6
58	9
59	8
60	10
61	6
62	9
63	4
64	6
65	9
66	9
67	8
68	10
69	9
70	6
71	10
72	7
73	8
74	12
75	11
76	10
77	8
78	11
79	9
80	12
81	7
82	13
83	12
84	13

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	0
17	0
18	0
19	0
20	0
21	0
22	2
23	1
24	2
25	2
26	1
27	2
28	2
29	4
30	3
31	5
32	1
33	3
34	2
35	3
36	3
37	4
38	5
39	9
40	5
41	5
42	6
43	7
44	8
45	8
46	8
47	5
48	7
49	5
50	8
51	8
52	5
53	5
54	9
55	8
56	6
57	6
58	9
59	8
60	10
61	6
62	9
63	4
64	6
65	9
66	9
67	8
68	10
69	9
70	6
71	10
72	7
73	8
74	12
75	11
76	10
77	8
78	11
79	9
80	12
81	7
82	13
83	12
84	13