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arXiv · 1709.05651

A digit reversal property for an analogue of Stern's sequence

Lukas Spiegelhofer
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Abstract

We consider a variant of Stern's diatomic sequence, studied recently by Northshield. We prove that this sequence $b$ is invariant under \emph{digit reversal} in base $3$, that is, $b_n=b_{n^R}$, where $n^R$ is obtained by reversing the base-$3$ expansion of $n$.

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Lukas Spiegelhofer. 2017-09-17. A digit reversal property for an analogue of Stern's sequence. https://arxiv.org/abs/1709.05651

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