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A117250 Triangle T, read by rows, where matrix power T^2 has powers of 2 in the secondary diagonal: [T^2](n+1,n) = 2^(n+1), with all 1's in the main diagonal and zeros elsewhere.

Table of values

n a(n)
0 1
1 1
2 1
3 -1
4 2
5 1
6 4
7 -4
8 4
9 1
10 -40
11 32
12 -16
13 8
14 1
15 896
16 -640
17 256
18 -64
19 16
20 1
21 -43008
22 28672
23 -10240
24 2048
25 -256
26 32
27 1
28 4325376
29 -2752512
30 917504
31 -163840
32 16384
33 -1024
34 64
35 1
36 -899678208
37 553648128
38 -176160768
39 29360128
40 -2621440
41 131072
42 -4096
43 128
44 1

List of values

[1, 1, 1, -1, 2, 1, 4, -4, 4, 1, -40, 32, -16, 8, 1, 896, -640, 256, -64, 16, 1, -43008, 28672, -10240, 2048, -256, 32, 1, 4325376, -2752512, 917504, -163840, 16384, -1024, 64, 1, -899678208, 553648128, -176160768, 29360128, -2621440, 131072, -4096, 128, 1]