Record values in appending and prepending bitstrings to runs of binary digits

Chai Wah Wu

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arXiv · 1810.02293

Record values in appending and prepending bitstrings to runs of binary digits

Chai Wah Wu

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Abstract

In this short note, we show a simple characterization of integers that reach records for a sequence described by adding binary strings to runs of 1's and 0's in a binary representation. In particular, we show that this set does not depend on the added strings as long as they are nonempty and of the same length.

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Chai Wah Wu. 2018-10-04. Record values in appending and prepending bitstrings to runs of binary digits. https://arxiv.org/abs/1810.02293

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