A233359 - cp's OEIS frontend

A233359 a(n) = |{0 < k < n: L(k) + q(n-k) is prime}|, where L(k) is the k-th Lucas number (A000204), and q(.) is the strict partition function (A000009).

n	a(n)
1	0
2	1
3	1
4	2
5	3
6	1
7	2
8	4
9	2
10	2
11	3
12	3
13	2
14	4
15	3
16	5
17	1
18	4
19	5
20	3
21	1
22	3
23	3
24	7
25	3
26	3
27	4
28	5
29	2
30	2
31	9
32	2
33	4
34	4
35	9
36	2
37	6
38	6
39	6
40	3
41	3
42	1
43	5
44	7
45	4
46	4
47	5
48	7
49	4
50	9
51	5
52	6
53	4
54	1
55	5
56	6
57	11
58	9
59	4
60	2
61	5
62	5
63	4
64	6
65	8
66	9
67	12
68	3
69	7
70	5
71	4
72	10
73	6
74	7
75	6
76	3
77	5
78	8
79	4
80	4
81	4
82	4
83	7
84	7
85	5
86	1
87	4
88	9
89	7
90	4
91	8
92	7
93	6
94	5
95	2
96	3
97	7
98	11
99	5
100	5

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

cp's OEIS Frontend

A233359 a(n) = |{0 < k < n: L(k) + q(n-k) is prime}|, where L(k) is the k-th Lucas number (A000204), and q(.) is the strict partition function (A000009).

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	2
5	3
6	1
7	2
8	4
9	2
10	2
11	3
12	3
13	2
14	4
15	3
16	5
17	1
18	4
19	5
20	3
21	1
22	3
23	3
24	7
25	3
26	3
27	4
28	5
29	2
30	2
31	9
32	2
33	4
34	4
35	9
36	2
37	6
38	6
39	6
40	3
41	3
42	1
43	5
44	7
45	4
46	4
47	5
48	7
49	4
50	9
51	5
52	6
53	4
54	1
55	5
56	6
57	11
58	9
59	4
60	2
61	5
62	5
63	4
64	6
65	8
66	9
67	12
68	3
69	7
70	5
71	4
72	10
73	6
74	7
75	6
76	3
77	5
78	8
79	4
80	4
81	4
82	4
83	7
84	7
85	5
86	1
87	4
88	9
89	7
90	4
91	8
92	7
93	6
94	5
95	2
96	3
97	7
98	11
99	5
100	5

n	a(n)
1	0
2	1
3	1
4	2
5	3
6	1
7	2
8	4
9	2
10	2
11	3
12	3
13	2
14	4
15	3
16	5
17	1
18	4
19	5
20	3
21	1
22	3
23	3
24	7
25	3
26	3
27	4
28	5
29	2
30	2
31	9
32	2
33	4
34	4
35	9
36	2
37	6
38	6
39	6
40	3
41	3
42	1
43	5
44	7
45	4
46	4
47	5
48	7
49	4
50	9
51	5
52	6
53	4
54	1
55	5
56	6
57	11
58	9
59	4
60	2
61	5
62	5
63	4
64	6
65	8
66	9
67	12
68	3
69	7
70	5
71	4
72	10
73	6
74	7
75	6
76	3
77	5
78	8
79	4
80	4
81	4
82	4
83	7
84	7
85	5
86	1
87	4
88	9
89	7
90	4
91	8
92	7
93	6
94	5
95	2
96	3
97	7
98	11
99	5
100	5

n	a(n)
1	0
2	1
3	1
4	2
5	3
6	1
7	2
8	4
9	2
10	2
11	3
12	3
13	2
14	4
15	3
16	5
17	1
18	4
19	5
20	3
21	1
22	3
23	3
24	7
25	3
26	3
27	4
28	5
29	2
30	2
31	9
32	2
33	4
34	4
35	9
36	2
37	6
38	6
39	6
40	3
41	3
42	1
43	5
44	7
45	4
46	4
47	5
48	7
49	4
50	9
51	5
52	6
53	4
54	1
55	5
56	6
57	11
58	9
59	4
60	2
61	5
62	5
63	4
64	6
65	8
66	9
67	12
68	3
69	7
70	5
71	4
72	10
73	6
74	7
75	6
76	3
77	5
78	8
79	4
80	4
81	4
82	4
83	7
84	7
85	5
86	1
87	4
88	9
89	7
90	4
91	8
92	7
93	6
94	5
95	2
96	3
97	7
98	11
99	5
100	5