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A302018 Expansion of 1/(1 - x*(1 + theta_3(x))/2), where theta_3() is the Jacobi theta function.

Table of values

n a(n)
0 1
1 1
2 2
3 3
4 5
5 9
6 15
7 26
8 44
9 75
10 129
11 220
12 377
13 644
14 1101
15 1883
16 3219
17 5506
18 9414
19 16098
20 27527
21 47069
22 80488
23 137630
24 235343
25 402427
26 688134
27 1176685
28 2012085
29 3440591
30 5883279
31 10060183
32 17202533
33 29415676
34 50299693
35 86010564
36 147074801
37 251492331
38 430042340
39 735356089
40 1257431006

List of values

[1, 1, 2, 3, 5, 9, 15, 26, 44, 75, 129, 220, 377, 644, 1101, 1883, 3219, 5506, 9414, 16098, 27527, 47069, 80488, 137630, 235343, 402427, 688134, 1176685, 2012085, 3440591, 5883279, 10060183, 17202533, 29415676, 50299693, 86010564, 147074801, 251492331, 430042340, 735356089, 1257431006]