A274659 - cp's OEIS frontend

A274659 Triangle entry T(n, m) gives the m-th contribution T(n, m)sin((2m+1)v) to the coefficient of q^n in the Fourier expansion of Jacobi's elliptic sn(u|k) function when expressed in the variables v = u/(2K(k)/Pi) and q, the Jacobi nome, written as series in (k/4)^2. K is the real quarter period of elliptic functions.

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

[1, 1, 1, -1, 0, 1, -1, -2, 0, 1, 2, 1, -2, 0, 1, 2, 3, 0, -2, 0, 1, -4, -2, 3, 0, -2, 0, 1, -4, -5, 1, 3, 0, -2, 0, 1, 7, 3, -6, 0, 3, 0, -2, 0, 1, 7, 9, -2, -6, 0, 3, 0, -2, 0, 1, -11, -5, 11, 1, -6, 0, 3, 0, -2, 0, 1, -11, -15, 3, 11, 0, -6, 0, 3, 0, -2, 0, 1, 17, 9, -17, -2, 11, 0, -6, 0, 3, 0, -2, 0, 1]

cp's OEIS Frontend

Table of values

List of values

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

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

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