A331136 - cp's OEIS frontend

A331136 a(n) = Sum_{primes p < n} r_2(n-p)/4, where r_2(n) = A004018(n).

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

[0, 0, 1, 2, 1, 2, 4, 3, 2, 3, 3, 6, 4, 2, 7, 5, 3, 6, 5, 7, 7, 7, 7, 7, 5, 3, 10, 10, 6, 8, 9, 9, 9, 7, 4, 13, 9, 6, 15, 7, 7, 14, 11, 10, 11, 9, 12, 16, 9, 7, 12, 13, 11, 15, 14, 13, 17, 12, 7, 16, 11, 8, 23, 12, 9, 17, 14, 16, 18, 15, 15, 21, 12, 10, 17, 19, 16, 20, 16, 11, 22, 15, 14, 27, 14, 11, 29, 20, 12, 18]

cp's OEIS Frontend

A331136 a(n) = Sum_{primes p < n} r_2(n-p)/4, where r_2(n) = A004018(n).

Table of values

List of values

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

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

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