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arXiv · 1811.02085

A Novel Fibonacci Pattern in Pascal's Triangle

Bernhard Moser
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Abstract

The Fibonacci sequence is obtained as weighted sum along the rows in the Pascal triangle by choosing a periodic up-and-down pattern of weights from the set $\{-1,-\frac{1}{2},0, \frac{1}{2}, 1\}$. A graphical illustration of this identity shows a novel "`beautiful"' Fibonacci pattern.

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Bernhard Moser. 2018-11-05. A Novel Fibonacci Pattern in Pascal's Triangle. https://doi.org/10.12988/ijcms.2014.417

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