A113447 - cp's OEIS frontend

A113447 Expansion of i * theta_2(i * q^3)^3 / (4 * theta_2(i * q)) in powers of q^2.

n	a(n)
1	1
2	1
3	1
4	-1
5	0
6	1
7	2
8	1
9	1
10	0
11	0
12	-1
13	2
14	2
15	0
16	-1
17	0
18	1
19	2
20	0
21	2
22	0
23	0
24	1
25	1
26	2
27	1
28	-2
29	0
30	0
31	2
32	1
33	0
34	0
35	0
36	-1
37	2
38	2
39	2
40	0
41	0
42	2
43	2
44	0
45	0
46	0
47	0
48	-1
49	3
50	1
51	0
52	-2
53	0
54	1
55	0
56	2
57	2
58	0
59	0
60	0
61	2
62	2
63	2
64	-1
65	0
66	0
67	2
68	0
69	0
70	0
71	0
72	1
73	2
74	2
75	1
76	-2
77	0
78	2
79	2
80	0
81	1
82	0
83	0
84	-2
85	0
86	2
87	0
88	0
89	0
90	0
91	4
92	0
93	2
94	0
95	0
96	1
97	2
98	3
99	0
100	-1
101	0
102	0
103	2
104	2
105	0

[1, 1, 1, -1, 0, 1, 2, 1, 1, 0, 0, -1, 2, 2, 0, -1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, -2, 0, 0, 2, 1, 0, 0, 0, -1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, -1, 3, 1, 0, -2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, -1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, -2, 0, 2, 2, 0, 1, 0, 0, -2, 0, 2, 0, 0, 0, 0, 4, 0, 2, 0, 0, 1, 2, 3, 0, -1, 0, 0, 2, 2, 0]

cp's OEIS Frontend

A113447 Expansion of i * theta_2(i * q^3)^3 / (4 * theta_2(i * q)) in powers of q^2.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	-1
5	0
6	1
7	2
8	1
9	1
10	0
11	0
12	-1
13	2
14	2
15	0
16	-1
17	0
18	1
19	2
20	0
21	2
22	0
23	0
24	1
25	1
26	2
27	1
28	-2
29	0
30	0
31	2
32	1
33	0
34	0
35	0
36	-1
37	2
38	2
39	2
40	0
41	0
42	2
43	2
44	0
45	0
46	0
47	0
48	-1
49	3
50	1
51	0
52	-2
53	0
54	1
55	0
56	2
57	2
58	0
59	0
60	0
61	2
62	2
63	2
64	-1
65	0
66	0
67	2
68	0
69	0
70	0
71	0
72	1
73	2
74	2
75	1
76	-2
77	0
78	2
79	2
80	0
81	1
82	0
83	0
84	-2
85	0
86	2
87	0
88	0
89	0
90	0
91	4
92	0
93	2
94	0
95	0
96	1
97	2
98	3
99	0
100	-1
101	0
102	0
103	2
104	2
105	0

n	a(n)
1	1
2	1
3	1
4	-1
5	0
6	1
7	2
8	1
9	1
10	0
11	0
12	-1
13	2
14	2
15	0
16	-1
17	0
18	1
19	2
20	0
21	2
22	0
23	0
24	1
25	1
26	2
27	1
28	-2
29	0
30	0
31	2
32	1
33	0
34	0
35	0
36	-1
37	2
38	2
39	2
40	0
41	0
42	2
43	2
44	0
45	0
46	0
47	0
48	-1
49	3
50	1
51	0
52	-2
53	0
54	1
55	0
56	2
57	2
58	0
59	0
60	0
61	2
62	2
63	2
64	-1
65	0
66	0
67	2
68	0
69	0
70	0
71	0
72	1
73	2
74	2
75	1
76	-2
77	0
78	2
79	2
80	0
81	1
82	0
83	0
84	-2
85	0
86	2
87	0
88	0
89	0
90	0
91	4
92	0
93	2
94	0
95	0
96	1
97	2
98	3
99	0
100	-1
101	0
102	0
103	2
104	2
105	0

n	a(n)
1	1
2	1
3	1
4	-1
5	0
6	1
7	2
8	1
9	1
10	0
11	0
12	-1
13	2
14	2
15	0
16	-1
17	0
18	1
19	2
20	0
21	2
22	0
23	0
24	1
25	1
26	2
27	1
28	-2
29	0
30	0
31	2
32	1
33	0
34	0
35	0
36	-1
37	2
38	2
39	2
40	0
41	0
42	2
43	2
44	0
45	0
46	0
47	0
48	-1
49	3
50	1
51	0
52	-2
53	0
54	1
55	0
56	2
57	2
58	0
59	0
60	0
61	2
62	2
63	2
64	-1
65	0
66	0
67	2
68	0
69	0
70	0
71	0
72	1
73	2
74	2
75	1
76	-2
77	0
78	2
79	2
80	0
81	1
82	0
83	0
84	-2
85	0
86	2
87	0
88	0
89	0
90	0
91	4
92	0
93	2
94	0
95	0
96	1
97	2
98	3
99	0
100	-1
101	0
102	0
103	2
104	2
105	0