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arXiv · 2108.10676

Walking in the OEIS: From Motzkin numbers to Fibonacci numbers. The "shadows" of Motzkin numbers

Gennady Eremin
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Abstract

In this paper, we consider nine OEIS sequences, the analysis of which allows us to find a connection between Motzkin numbers and Fibonacci numbers. In each Motzkin number, we distinguish an even component and an odd component, the difference of these two components is called the shadow of the Motzkin number. Reverse of the Motzkin shadows give us a sequence from the family of Fibonacci numbers.

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Gennady Eremin. 2021-08-24. Walking in the OEIS: From Motzkin numbers to Fibonacci numbers. The "shadows" of Motzkin numbers. https://arxiv.org/abs/2108.10676

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