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arXiv · 1710.06203

Continuants, run lengths, and Barry's modified Pascal triangle

Jeffrey Shallit·Lukas Spiegelhofer
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Abstract

We show that the $n$'th diagonal sum of Barry's modified Pascal triangle can be described as the continuant of the run lengths of the binary representation of $n$. We also obtain an explicit description for the row sums.

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Jeffrey Shallit, Lukas Spiegelhofer. 2017-10-17. Continuants, run lengths, and Barry's modified Pascal triangle. https://doi.org/10.37236/7399

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