A378125 - cp's OEIS frontend

A378125 Triangle T(n, k) read by rows. Let m be a nonzero rational number then T(n, m mod (n+1)) is the n-th coefficient in the Hasse-Weil L-series (q^(n+1) in the q-expansion) associated to the elliptic equation -4x^3 + ((m+1)^2 + 8)x^2 - 2(m+3)x + 1 - y^2 = 0.

n	a(n)
0	1
1	-1
2	-2
3	0
4	-3
5	-1
6	1
7	2
8	1
9	2
10	-1
11	-2
12	-1
13	-3
14	1
15	0
16	6
17	1
18	0
19	3
20	2
21	1
22	-1
23	-3
24	1
25	-2
26	-2
27	-2
28	-1
29	0
30	-1
31	0
32	-1
33	0
34	-1
35	0
36	0
37	6
38	-2
39	0
40	6
41	-2
42	0
43	6
44	-2
45	1
46	4
47	1
48	6
49	-1
50	2
51	2
52	2
53	3
54	-2
55	-1
56	-5
57	4
58	3
59	1
60	-2
61	-4
62	-5
63	-3
64	-1
65	1
66	0
67	-6
68	-1
69	0
70	-3
71	-2
72	0
73	-6
74	-1
75	0
76	-3
77	-2
78	1
79	-2
80	-7
81	0
82	2
83	-2
84	-1
85	0
86	-5
87	-2
88	-5
89	3
90	4
91	-1
92	2
93	3
94	-2
95	2
96	4
97	2
98	-2
99	1
100	6
101	-1
102	4
103	2
104	4

[1, -1, -2, 0, -3, -1, 1, 2, 1, 2, -1, -2, -1, -3, 1, 0, 6, 1, 0, 3, 2, 1, -1, -3, 1, -2, -2, -2, -1, 0, -1, 0, -1, 0, -1, 0, 0, 6, -2, 0, 6, -2, 0, 6, -2, 1, 4, 1, 6, -1, 2, 2, 2, 3, -2, -1, -5, 4, 3, 1, -2, -4, -5, -3, -1, 1, 0, -6, -1, 0, -3, -2, 0, -6, -1, 0, -3, -2, 1, -2, -7, 0, 2, -2, -1, 0, -5, -2, -5, 3, 4, -1, 2, 3, -2, 2, 4, 2, -2, 1, 6, -1, 4, 2, 4]

cp's OEIS Frontend

A378125 Triangle T(n, k) read by rows. Let m be a nonzero rational number then T(n, m mod (n+1)) is the n-th coefficient in the Hasse-Weil L-series (q^(n+1) in the q-expansion) associated to the elliptic equation -4x^3 + ((m+1)^2 + 8)x^2 - 2(m+3)x + 1 - y^2 = 0.

Table of values

List of values

n	a(n)
0	1
1	-1
2	-2
3	0
4	-3
5	-1
6	1
7	2
8	1
9	2
10	-1
11	-2
12	-1
13	-3
14	1
15	0
16	6
17	1
18	0
19	3
20	2
21	1
22	-1
23	-3
24	1
25	-2
26	-2
27	-2
28	-1
29	0
30	-1
31	0
32	-1
33	0
34	-1
35	0
36	0
37	6
38	-2
39	0
40	6
41	-2
42	0
43	6
44	-2
45	1
46	4
47	1
48	6
49	-1
50	2
51	2
52	2
53	3
54	-2
55	-1
56	-5
57	4
58	3
59	1
60	-2
61	-4
62	-5
63	-3
64	-1
65	1
66	0
67	-6
68	-1
69	0
70	-3
71	-2
72	0
73	-6
74	-1
75	0
76	-3
77	-2
78	1
79	-2
80	-7
81	0
82	2
83	-2
84	-1
85	0
86	-5
87	-2
88	-5
89	3
90	4
91	-1
92	2
93	3
94	-2
95	2
96	4
97	2
98	-2
99	1
100	6
101	-1
102	4
103	2
104	4

n	a(n)
0	1
1	-1
2	-2
3	0
4	-3
5	-1
6	1
7	2
8	1
9	2
10	-1
11	-2
12	-1
13	-3
14	1
15	0
16	6
17	1
18	0
19	3
20	2
21	1
22	-1
23	-3
24	1
25	-2
26	-2
27	-2
28	-1
29	0
30	-1
31	0
32	-1
33	0
34	-1
35	0
36	0
37	6
38	-2
39	0
40	6
41	-2
42	0
43	6
44	-2
45	1
46	4
47	1
48	6
49	-1
50	2
51	2
52	2
53	3
54	-2
55	-1
56	-5
57	4
58	3
59	1
60	-2
61	-4
62	-5
63	-3
64	-1
65	1
66	0
67	-6
68	-1
69	0
70	-3
71	-2
72	0
73	-6
74	-1
75	0
76	-3
77	-2
78	1
79	-2
80	-7
81	0
82	2
83	-2
84	-1
85	0
86	-5
87	-2
88	-5
89	3
90	4
91	-1
92	2
93	3
94	-2
95	2
96	4
97	2
98	-2
99	1
100	6
101	-1
102	4
103	2
104	4

cp's OEIS Frontend

A378125 Triangle T(n, k) read by rows. Let m be a nonzero rational number then T(n, m mod (n+1)) is the n-th coefficient in the Hasse-Weil L-series (q^(n+1) in the q-expansion) associated to the elliptic equation -4*x^3 + ((m+1)^2 + 8)*x^2 - 2*(m+3)*x + 1 - y^2 = 0.

Table of values

List of values

A378125 Triangle T(n, k) read by rows. Let m be a nonzero rational number then T(n, m mod (n+1)) is the n-th coefficient in the Hasse-Weil L-series (q^(n+1) in the q-expansion) associated to the elliptic equation -4x^3 + ((m+1)^2 + 8)x^2 - 2(m+3)x + 1 - y^2 = 0.

n	a(n)
0	1
1	-1
2	-2
3	0
4	-3
5	-1
6	1
7	2
8	1
9	2
10	-1
11	-2
12	-1
13	-3
14	1
15	0
16	6
17	1
18	0
19	3
20	2
21	1
22	-1
23	-3
24	1
25	-2
26	-2
27	-2
28	-1
29	0
30	-1
31	0
32	-1
33	0
34	-1
35	0
36	0
37	6
38	-2
39	0
40	6
41	-2
42	0
43	6
44	-2
45	1
46	4
47	1
48	6
49	-1
50	2
51	2
52	2
53	3
54	-2
55	-1
56	-5
57	4
58	3
59	1
60	-2
61	-4
62	-5
63	-3
64	-1
65	1
66	0
67	-6
68	-1
69	0
70	-3
71	-2
72	0
73	-6
74	-1
75	0
76	-3
77	-2
78	1
79	-2
80	-7
81	0
82	2
83	-2
84	-1
85	0
86	-5
87	-2
88	-5
89	3
90	4
91	-1
92	2
93	3
94	-2
95	2
96	4
97	2
98	-2
99	1
100	6
101	-1
102	4
103	2
104	4