3 problems

Let $A$ and $D$ denote the Eulerian and Delannoy triangles, respectively, and let $A^2$ and $D^2$ be their matrix squares. For a lower triangular matrix $M$, write its $n$-th row g…

Let $d_k(x)$ and $s_k(x)$ be the two Delannoy-related polynomials considered in the paper. Integer-valued Delannoy-polynomial power conjecture. For all positive integers $m$ and…

For positive integers $m,n,r$, let $D_q(m,k)$ and $D_{q^{-1}}(m,k)$ be the natural $q$-Delannoy numbers defined by … with…