A235343 - cp's OEIS frontend

A235343 a(n) = |{0 < k < n: f(n,k) - 1, f(n,k) + 1 and q(f(n,k)) + 1 are all prime with f(n,k) = phi(k) + phi(n-k)/4}|, where phi(.) is Euler's totient function, and q(.) is the strict partition function (A000009).

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	1
15	1
16	0
17	0
18	1
19	2
20	3
21	3
22	2
23	4
24	2
25	2
26	3
27	4
28	4
29	2
30	3
31	0
32	3
33	2
34	3
35	3
36	3
37	3
38	4
39	0
40	2
41	1
42	1
43	2
44	2
45	1
46	2
47	2
48	2
49	1
50	1
51	2
52	4
53	0
54	2
55	1
56	5
57	2
58	2
59	0
60	2
61	3
62	2
63	3
64	4
65	4
66	2
67	2
68	2
69	1
70	3
71	6
72	3
73	3
74	1
75	5
76	2
77	2
78	2
79	4
80	2
81	2
82	2
83	2
84	2
85	3
86	2
87	2

[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 3, 3, 2, 4, 2, 2, 3, 4, 4, 2, 3, 0, 3, 2, 3, 3, 3, 3, 4, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 4, 0, 2, 1, 5, 2, 2, 0, 2, 3, 2, 3, 4, 4, 2, 2, 2, 1, 3, 6, 3, 3, 1, 5, 2, 2, 2, 4, 2, 2, 2, 2, 2, 3, 2, 2]

cp's OEIS Frontend

A235343 a(n) = |{0 < k < n: f(n,k) - 1, f(n,k) + 1 and q(f(n,k)) + 1 are all prime with f(n,k) = phi(k) + phi(n-k)/4}|, where phi(.) is Euler's totient function, and q(.) is the strict partition function (A000009).

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	1
15	1
16	0
17	0
18	1
19	2
20	3
21	3
22	2
23	4
24	2
25	2
26	3
27	4
28	4
29	2
30	3
31	0
32	3
33	2
34	3
35	3
36	3
37	3
38	4
39	0
40	2
41	1
42	1
43	2
44	2
45	1
46	2
47	2
48	2
49	1
50	1
51	2
52	4
53	0
54	2
55	1
56	5
57	2
58	2
59	0
60	2
61	3
62	2
63	3
64	4
65	4
66	2
67	2
68	2
69	1
70	3
71	6
72	3
73	3
74	1
75	5
76	2
77	2
78	2
79	4
80	2
81	2
82	2
83	2
84	2
85	3
86	2
87	2

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	1
15	1
16	0
17	0
18	1
19	2
20	3
21	3
22	2
23	4
24	2
25	2
26	3
27	4
28	4
29	2
30	3
31	0
32	3
33	2
34	3
35	3
36	3
37	3
38	4
39	0
40	2
41	1
42	1
43	2
44	2
45	1
46	2
47	2
48	2
49	1
50	1
51	2
52	4
53	0
54	2
55	1
56	5
57	2
58	2
59	0
60	2
61	3
62	2
63	3
64	4
65	4
66	2
67	2
68	2
69	1
70	3
71	6
72	3
73	3
74	1
75	5
76	2
77	2
78	2
79	4
80	2
81	2
82	2
83	2
84	2
85	3
86	2
87	2

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	1
15	1
16	0
17	0
18	1
19	2
20	3
21	3
22	2
23	4
24	2
25	2
26	3
27	4
28	4
29	2
30	3
31	0
32	3
33	2
34	3
35	3
36	3
37	3
38	4
39	0
40	2
41	1
42	1
43	2
44	2
45	1
46	2
47	2
48	2
49	1
50	1
51	2
52	4
53	0
54	2
55	1
56	5
57	2
58	2
59	0
60	2
61	3
62	2
63	3
64	4
65	4
66	2
67	2
68	2
69	1
70	3
71	6
72	3
73	3
74	1
75	5
76	2
77	2
78	2
79	4
80	2
81	2
82	2
83	2
84	2
85	3
86	2
87	2