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arXiv · 1911.12785

Elliptic and $q$-Analogs of the Fibonomial Numbers

Nantel Bergeron·Cesar Ceballos·Josef Küstner
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Abstract

In 2009, Sagan and Savage introduced a combinatorial model for the Fibonomial numbers, integer numbers that are obtained from the binomial coefficients by replacing each term by its corresponding Fibonacci number. In this paper, we present a combinatorial description for the $q$-analog and elliptic analog of the Fibonomial numbers. This is achieved by introducing some $q$-weights and elliptic weights to a slight modification of the combinatorial model of Sagan and Savage.

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Nantel Bergeron, Cesar Ceballos, Josef Küstner. 2020-08-13. Elliptic and $q$-Analogs of the Fibonomial Numbers. https://doi.org/10.3842/sigma.2020.076

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