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Elliptic and $q$-Analogs of the Fibonomial Numbers
Symmetry, integrability and geometry: methods and applications, Tome 16 (2020) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: weighted enumeration.
Mots-clés : Fibonomial, Fibonacci, $q$-analog, elliptic analog 
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     author = {Nantel Bergeron and Cesar Ceballos and Josef K\"ustner},
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Nantel Bergeron; Cesar Ceballos; Josef Küstner. Elliptic and $q$-Analogs of the Fibonomial Numbers. Symmetry, integrability and geometry: methods and applications, Tome 16 (2020). http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a75/

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