Hankel determinants of sums of consecutive weighted Schröder numbers

Sen-Peng Eu, Tsai-Lien Wong, Pei-Lan Yen

For a real number $t$, let $r_{\ell }(t)$ be the total weight of all $t$-large Schröder paths of length $\ell$, and $s_{\ell }(t)$ be the total weight of all $t$-small Schröder paths of…