A235358 - cp's OEIS frontend

A235358 a(n) = |{0 < k < n: g(n,k) - 1, g(n,k) + 1 and q(g(n,k)) - 1 are all prime with g(n,k) = phi(k) + phi(n-k)/8}|, 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	0
15	0
16	0
17	0
18	0
19	0
20	0
21	0
22	1
23	0
24	0
25	1
26	0
27	1
28	0
29	1
30	0
31	0
32	0
33	0
34	0
35	0
36	0
37	1
38	0
39	1
40	1
41	0
42	3
43	1
44	2
45	1
46	1
47	0
48	1
49	0
50	1
51	0
52	1
53	1
54	1
55	1
56	2
57	2
58	1
59	0
60	1
61	0
62	0
63	0
64	0
65	1
66	0
67	1
68	2
69	0
70	2
71	1
72	2
73	0
74	1
75	0
76	1
77	1
78	0
79	0
80	0
81	0
82	0
83	2
84	2
85	0
86	1
87	0
88	0
89	1
90	1
91	0
92	0
93	0
94	0
95	0
96	0
97	0
98	0
99	1
100	1

[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 3, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1]

cp's OEIS Frontend

A235358 a(n) = |{0 < k < n: g(n,k) - 1, g(n,k) + 1 and q(g(n,k)) - 1 are all prime with g(n,k) = phi(k) + phi(n-k)/8}|, 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	0
15	0
16	0
17	0
18	0
19	0
20	0
21	0
22	1
23	0
24	0
25	1
26	0
27	1
28	0
29	1
30	0
31	0
32	0
33	0
34	0
35	0
36	0
37	1
38	0
39	1
40	1
41	0
42	3
43	1
44	2
45	1
46	1
47	0
48	1
49	0
50	1
51	0
52	1
53	1
54	1
55	1
56	2
57	2
58	1
59	0
60	1
61	0
62	0
63	0
64	0
65	1
66	0
67	1
68	2
69	0
70	2
71	1
72	2
73	0
74	1
75	0
76	1
77	1
78	0
79	0
80	0
81	0
82	0
83	2
84	2
85	0
86	1
87	0
88	0
89	1
90	1
91	0
92	0
93	0
94	0
95	0
96	0
97	0
98	0
99	1
100	1

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	1
23	0
24	0
25	1
26	0
27	1
28	0
29	1
30	0
31	0
32	0
33	0
34	0
35	0
36	0
37	1
38	0
39	1
40	1
41	0
42	3
43	1
44	2
45	1
46	1
47	0
48	1
49	0
50	1
51	0
52	1
53	1
54	1
55	1
56	2
57	2
58	1
59	0
60	1
61	0
62	0
63	0
64	0
65	1
66	0
67	1
68	2
69	0
70	2
71	1
72	2
73	0
74	1
75	0
76	1
77	1
78	0
79	0
80	0
81	0
82	0
83	2
84	2
85	0
86	1
87	0
88	0
89	1
90	1
91	0
92	0
93	0
94	0
95	0
96	0
97	0
98	0
99	1
100	1

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	1
23	0
24	0
25	1
26	0
27	1
28	0
29	1
30	0
31	0
32	0
33	0
34	0
35	0
36	0
37	1
38	0
39	1
40	1
41	0
42	3
43	1
44	2
45	1
46	1
47	0
48	1
49	0
50	1
51	0
52	1
53	1
54	1
55	1
56	2
57	2
58	1
59	0
60	1
61	0
62	0
63	0
64	0
65	1
66	0
67	1
68	2
69	0
70	2
71	1
72	2
73	0
74	1
75	0
76	1
77	1
78	0
79	0
80	0
81	0
82	0
83	2
84	2
85	0
86	1
87	0
88	0
89	1
90	1
91	0
92	0
93	0
94	0
95	0
96	0
97	0
98	0
99	1
100	1