A241014 - cp's OEIS frontend

A241014 Let p be the n-th prime, then a(n) = A/p where A is the smallest number (in absolute value) such that F_{p-(p/5)} == A (mod p^2) with F_n = A000045(n) and (p/5) the Legendre symbol.

n	a(n)
1	1
2	1
3	1
4	3
5	5
6	3
7	-1
8	3
9	-8
10	-3
11	-6
12	13
13	-2
14	-4
15	16
16	-25
17	10
18	-13
19	7
20	-16
21	-15
22	-30
23	21
24	5
25	37
26	-4
27	22
28	24
29	26
30	-53
31	13
32	64
33	58
34	-22
35	-29
36	60
37	44
38	-3
39	44
40	-43
41	-5
42	-50
43	94
44	31
45	-56
46	5
47	-99
48	3
49	-73
50	18
51	29
52	5
53	-59
54	-1
55	2

[1, 1, 1, 3, 5, 3, -1, 3, -8, -3, -6, 13, -2, -4, 16, -25, 10, -13, 7, -16, -15, -30, 21, 5, 37, -4, 22, 24, 26, -53, 13, 64, 58, -22, -29, 60, 44, -3, 44, -43, -5, -50, 94, 31, -56, 5, -99, 3, -73, 18, 29, 5, -59, -1, 2]

cp's OEIS Frontend

A241014 Let p be the n-th prime, then a(n) = A/p where A is the smallest number (in absolute value) such that F_{p-(p/5)} == A (mod p^2) with F_n = A000045(n) and (p/5) the Legendre symbol.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	3
5	5
6	3
7	-1
8	3
9	-8
10	-3
11	-6
12	13
13	-2
14	-4
15	16
16	-25
17	10
18	-13
19	7
20	-16
21	-15
22	-30
23	21
24	5
25	37
26	-4
27	22
28	24
29	26
30	-53
31	13
32	64
33	58
34	-22
35	-29
36	60
37	44
38	-3
39	44
40	-43
41	-5
42	-50
43	94
44	31
45	-56
46	5
47	-99
48	3
49	-73
50	18
51	29
52	5
53	-59
54	-1
55	2

n	a(n)
1	1
2	1
3	1
4	3
5	5
6	3
7	-1
8	3
9	-8
10	-3
11	-6
12	13
13	-2
14	-4
15	16
16	-25
17	10
18	-13
19	7
20	-16
21	-15
22	-30
23	21
24	5
25	37
26	-4
27	22
28	24
29	26
30	-53
31	13
32	64
33	58
34	-22
35	-29
36	60
37	44
38	-3
39	44
40	-43
41	-5
42	-50
43	94
44	31
45	-56
46	5
47	-99
48	3
49	-73
50	18
51	29
52	5
53	-59
54	-1
55	2

n	a(n)
1	1
2	1
3	1
4	3
5	5
6	3
7	-1
8	3
9	-8
10	-3
11	-6
12	13
13	-2
14	-4
15	16
16	-25
17	10
18	-13
19	7
20	-16
21	-15
22	-30
23	21
24	5
25	37
26	-4
27	22
28	24
29	26
30	-53
31	13
32	64
33	58
34	-22
35	-29
36	60
37	44
38	-3
39	44
40	-43
41	-5
42	-50
43	94
44	31
45	-56
46	5
47	-99
48	3
49	-73
50	18
51	29
52	5
53	-59
54	-1
55	2