A145705 - cp's OEIS frontend

A145705 Expansion of q^(1/4) * (eta(q^8) * eta(q^10) - eta(q^2) * eta(q^40)) / (eta(q^4) * eta(q^20)) in powers of q.

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

[1, -1, 0, 1, 1, 0, 0, 1, 1, -1, -1, 1, 2, -1, -1, 1, 2, -2, -1, 2, 3, -3, -2, 3, 4, -3, -2, 4, 5, -4, -4, 5, 6, -6, -5, 6, 8, -7, -6, 8, 11, -10, -8, 11, 13, -11, -10, 13, 16, -15, -14, 17, 20, -18, -17, 20, 24, -23, -21, 25, 31, -29, -26, 32, 37, -34, -32, 39, 44, -42, -41, 47, 54, -52, -49, 56, 64, -62, -59, 68, 79, -77, -72]

cp's OEIS Frontend

A145705 Expansion of q^(1/4) * (eta(q^8) * eta(q^10) - eta(q^2) * eta(q^40)) / (eta(q^4) * eta(q^20)) in powers of q.

Table of values

List of values

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

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

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