The lower-trimmed subsequence of is the sequence obtained by subtracting 1 from each and then removing all 0s. If is a Fractal Sequence, then is a Fractal Sequence. If is a Signature Sequence, then .

**References**

Kimberling, C. ``Fractal Sequences and Interspersions.'' *Ars Combin.* **45**, 157-168, 1997.

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1999-05-25