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Parity Recurrence in Thue-Morse Sequence

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initial state for heads of columns
initial state for heads of rows
step
0
1
2
3
4
5
6
7
The Thue-Morse sequence gives the parity for the sum of ones in binary numbers. It can be obtained by steps which append the binary complement of the previous step. The recurrence plot shows the mod 2 differences between the
th
x
and
th
y
terms of the sequence. The heads for rows and columns are obtained by this procedure which can start from intial values 0 or 1.
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