A123489 - cp's OEIS frontend

A123489 a(n) = Sum_{k=0..p-1} Kronecker(4k^3+1, p) where p is the n-th prime of the form 6k+1.

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

[1, -5, 7, 4, -11, -8, 1, -5, 7, -17, 19, 13, -2, -20, -23, 19, -14, 25, 7, -23, -11, 13, 28, 22, -17, -29, -26, -32, 16, -35, 1, -5, 37, -35, 13, -29, 34, 31, 19, -2, 28, 10, -23, 25, -32, 43, -29, 1, 31, -11, -26, 49, -47, -17, 43, 40, 49, 37, -8, -53, -44, -50, 16, -41, -29, 49, 31, -56, -5, 7, -35, 13, -59, -47]

cp's OEIS Frontend

A123489 a(n) = Sum_{k=0..p-1} Kronecker(4k^3+1, p) where p is the n-th prime of the form 6k+1.

Table of values

List of values

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

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

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