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arXiv · 1708.06479

Finite generating functions for the sum of digits sequence

C. Vignat·T. Wakhare
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Abstract

We derive some new finite sums involving the sequence $s_{2}\left(n\right),$ the sum of digits of the expansion of $n$ in base $2.$ These functions allow us to generalize some classical results obtained by Allouche, Shallit and others.

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C. Vignat, T. Wakhare. 2017-08-22. Finite generating functions for the sum of digits sequence. https://arxiv.org/abs/1708.06479

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