Baum-Sweet Sequence

DOWNLOAD Mathematica Notebook Baum-Sweet sequence recurrence plot

The Baum-Sweet sequence is the sequence of numbers {b_n} such that b_n=1 if the binary representation of n contains no block of consecutive 0s of odd length, and b_n=0 otherwise. For n=1, 2, ... the first few terms are 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, ... (OEIS A086747). A recurrence plot of the limiting value of this sequence is illustrated above.

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