A316141 - cp's OEIS frontend

A316141 Number of ordered pairs (k, m) with k > 1 and m > 0 such that n - F(k)*L(m) is an odd prime, where F(k) is the k-th Fibonacci number (A000045) and L(m) is the m-th Lucas number (A000204).

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

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

cp's OEIS Frontend

A316141 Number of ordered pairs (k, m) with k > 1 and m > 0 such that n - F(k)*L(m) is an odd prime, where F(k) is the k-th Fibonacci number (A000045) and L(m) is the m-th Lucas number (A000204).

Table of values

List of values

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

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

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