A308297 - cp's OEIS frontend

A308297 Expansion of Sum_{k>=1} mu(k)*log((theta_3(x^k) + 1)/2)/k, where theta_3() is the Jacobi theta function.

n	a(n)
1	1
2	-1
3	0
4	1
5	-1
6	1
7	-1
8	0
9	1
10	-1
11	2
12	-3
13	1
14	1
15	-2
16	5
17	-6
18	4
19	-2
20	-3
21	10
22	-15
23	15
24	-9
25	-1
26	17
27	-34
28	43
29	-39
30	17
31	25
32	-78
33	117
34	-127
35	93
36	3
37	-147
38	298
39	-394
40	369
41	-168
42	-211
43	680
44	-1092
45	1251
46	-939
47	39
48	1336
49	-2827
50	3855
51	-3715
52	1857
53	1777
54	-6529
55	10922
56	-12789
57	9929

[1, -1, 0, 1, -1, 1, -1, 0, 1, -1, 2, -3, 1, 1, -2, 5, -6, 4, -2, -3, 10, -15, 15, -9, -1, 17, -34, 43, -39, 17, 25, -78, 117, -127, 93, 3, -147, 298, -394, 369, -168, -211, 680, -1092, 1251, -939, 39, 1336, -2827, 3855, -3715, 1857, 1777, -6529, 10922, -12789, 9929]

cp's OEIS Frontend

A308297 Expansion of Sum_{k>=1} mu(k)*log((theta_3(x^k) + 1)/2)/k, where theta_3() is the Jacobi theta function.

Table of values

List of values