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arxiv: 1703.04063 · v1 · pith:XLTJXKI7new · submitted 2017-03-12 · 🧮 math.CO · cs.FL· math.NT

On the k-abelian complexity of the Cantor sequence

classification 🧮 math.CO cs.FLmath.NT
keywords sequenceabeliancantorcomplexitycdotseveryfunctioninteger
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In this paper, we prove that for every integer $k \geq 1$, the $k$-abelian complexity function of the Cantor sequence $\mathbf{c} = 101000101\cdots$ is a $3$-regular sequence.

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