A236325 - cp's OEIS frontend

A236325 a(n) = |{0 < k < n: m = phi(k)/2 + phi(n-k)/12 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	1
9	1
10	1
11	1
12	0
13	0
14	0
15	1
16	2
17	1
18	1
19	2
20	3
21	2
22	1
23	1
24	2
25	2
26	1
27	2
28	3
29	4
30	3
31	4
32	4
33	5
34	2
35	4
36	3
37	4
38	5
39	5
40	6
41	5
42	6
43	8
44	7
45	9
46	8
47	6
48	6
49	5
50	8
51	9
52	4
53	8
54	7
55	7
56	5
57	5
58	7
59	7
60	8
61	8
62	6
63	7
64	8
65	7
66	10
67	5
68	8
69	9
70	8
71	7
72	7
73	6
74	7
75	8
76	12
77	10
78	6
79	8
80	9
81	9
82	12
83	9
84	8
85	7
86	13

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

cp's OEIS Frontend

A236325 a(n) = |{0 < k < n: m = phi(k)/2 + phi(n-k)/12 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	1
9	1
10	1
11	1
12	0
13	0
14	0
15	1
16	2
17	1
18	1
19	2
20	3
21	2
22	1
23	1
24	2
25	2
26	1
27	2
28	3
29	4
30	3
31	4
32	4
33	5
34	2
35	4
36	3
37	4
38	5
39	5
40	6
41	5
42	6
43	8
44	7
45	9
46	8
47	6
48	6
49	5
50	8
51	9
52	4
53	8
54	7
55	7
56	5
57	5
58	7
59	7
60	8
61	8
62	6
63	7
64	8
65	7
66	10
67	5
68	8
69	9
70	8
71	7
72	7
73	6
74	7
75	8
76	12
77	10
78	6
79	8
80	9
81	9
82	12
83	9
84	8
85	7
86	13

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	1
19	2
20	3
21	2
22	1
23	1
24	2
25	2
26	1
27	2
28	3
29	4
30	3
31	4
32	4
33	5
34	2
35	4
36	3
37	4
38	5
39	5
40	6
41	5
42	6
43	8
44	7
45	9
46	8
47	6
48	6
49	5
50	8
51	9
52	4
53	8
54	7
55	7
56	5
57	5
58	7
59	7
60	8
61	8
62	6
63	7
64	8
65	7
66	10
67	5
68	8
69	9
70	8
71	7
72	7
73	6
74	7
75	8
76	12
77	10
78	6
79	8
80	9
81	9
82	12
83	9
84	8
85	7
86	13

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	1
19	2
20	3
21	2
22	1
23	1
24	2
25	2
26	1
27	2
28	3
29	4
30	3
31	4
32	4
33	5
34	2
35	4
36	3
37	4
38	5
39	5
40	6
41	5
42	6
43	8
44	7
45	9
46	8
47	6
48	6
49	5
50	8
51	9
52	4
53	8
54	7
55	7
56	5
57	5
58	7
59	7
60	8
61	8
62	6
63	7
64	8
65	7
66	10
67	5
68	8
69	9
70	8
71	7
72	7
73	6
74	7
75	8
76	12
77	10
78	6
79	8
80	9
81	9
82	12
83	9
84	8
85	7
86	13