A236263 - cp's OEIS frontend

A236263 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	1
7	1
8	0
9	1
10	1
11	1
12	1
13	1
14	2
15	1
16	0
17	0
18	1
19	2
20	3
21	3
22	4
23	5
24	4
25	4
26	5
27	7
28	4
29	5
30	6
31	6
32	5
33	5
34	5
35	7
36	6
37	7
38	9
39	7
40	8
41	7
42	7
43	5
44	11
45	8
46	8
47	8
48	11
49	8
50	7
51	5
52	10
53	6
54	9
55	8
56	10
57	7
58	8
59	10
60	9
61	7
62	8
63	9
64	13
65	8
66	8
67	9
68	10
69	6
70	11
71	10
72	7
73	7
74	9
75	11
76	13
77	8
78	11
79	13
80	11
81	14
82	6

[0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 3, 3, 4, 5, 4, 4, 5, 7, 4, 5, 6, 6, 5, 5, 5, 7, 6, 7, 9, 7, 8, 7, 7, 5, 11, 8, 8, 8, 11, 8, 7, 5, 10, 6, 9, 8, 10, 7, 8, 10, 9, 7, 8, 9, 13, 8, 8, 9, 10, 6, 11, 10, 7, 7, 9, 11, 13, 8, 11, 13, 11, 14, 6]

cp's OEIS Frontend

A236263 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	1
7	1
8	0
9	1
10	1
11	1
12	1
13	1
14	2
15	1
16	0
17	0
18	1
19	2
20	3
21	3
22	4
23	5
24	4
25	4
26	5
27	7
28	4
29	5
30	6
31	6
32	5
33	5
34	5
35	7
36	6
37	7
38	9
39	7
40	8
41	7
42	7
43	5
44	11
45	8
46	8
47	8
48	11
49	8
50	7
51	5
52	10
53	6
54	9
55	8
56	10
57	7
58	8
59	10
60	9
61	7
62	8
63	9
64	13
65	8
66	8
67	9
68	10
69	6
70	11
71	10
72	7
73	7
74	9
75	11
76	13
77	8
78	11
79	13
80	11
81	14
82	6

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

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