A digit reversal property for an analogue of Stern's sequence
classification
🧮 math.NT
keywords
sequencedigitreversalsternanaloguebasebase-consider
read the original 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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