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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A120582 Hankel transform of Sum_{k=0..floor(n/2)} binomial(2*k, k).

Table of values

n a(n)
0 1
1 2
2 0
3 0
4 -16
5 -32
6 -64
7 -128
8 0
9 0
10 1024
11 2048
12 4096
13 8192
14 0
15 0
16 -65536
17 -131072
18 -262144
19 -524288
20 0
21 0
22 4194304
23 8388608
24 16777216
25 33554432
26 0
27 0
28 -268435456
29 -536870912
30 -1073741824
31 -2147483648
32 0
33 0
34 17179869184
35 34359738368
36 68719476736
37 137438953472
38 0
39 0
40 -1099511627776

List of values

[1, 2, 0, 0, -16, -32, -64, -128, 0, 0, 1024, 2048, 4096, 8192, 0, 0, -65536, -131072, -262144, -524288, 0, 0, 4194304, 8388608, 16777216, 33554432, 0, 0, -268435456, -536870912, -1073741824, -2147483648, 0, 0, 17179869184, 34359738368, 68719476736, 137438953472, 0, 0, -1099511627776]