Séminaire Lotharingien de Combinatoire, 84B.63 (2020), 12 pp.
Nantel Bergeron, Cesar Ceballos and Josef Küstner
Elliptic and q-Analogs of the Fibonomial Numbers
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.
Received: November 20, 2019.
Accepted: February 20, 2020.
Final version: April 30, 2020.
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