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arXiv · 1008.0193

On some conjectures concerning Stern's sequence and its twist

Michael Coons
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Abstract

In a recent paper, Roland Bacher conjectured three identities concerning Stern's sequence and its twist. In this paper we prove Bacher's conjectures. Possibly of independent interest, we also give a way to compute the Stern value (or twisted Stern value) of a number based solely on its binary expansion.

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Michael Coons. 2010-08-01. On some conjectures concerning Stern's sequence and its twist. https://arxiv.org/abs/1008.0193

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