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A129569 as a triangular array

1
01
001
0101
00101
000101
0010101
01010101
000010101
0001010101

A129569 as a square array

1000000000
101000100
10101000
1010101
101010
10101
1010
101
10
1
1000000000
101000100
10101000
1010101
101010
10101
1010
101
10
1