A Recursion for the FiboNarayana and the Generalized Narayana Numbers

Kristina Garrett, Kendra Killpatrick

The Lucas polynomials, $\{n\}$, are polynomials in $s$ and $t$ given by $\{n\}=s\{n-1\}+t\{n-2\}$ for $n\ge 2$ with $\{0\}=0$ and $\{1\}=1$. The lucanomial c…