2 problems

Let $\mathbf{S}=1+(t_2+t_3+\cdots)\mathbf{G}$, where $\mathbf{G}$ is the Geode power series, and let $m_2,m_3$ be nonnegative integers. An ordered tree is a tree with a designated…

Let $n$ and $\ell$ be integers satisfying $n\geq \ell\geq 1$. Let $\operatorname{totalD}(n,k)$ denote the total quantity studied in the paper, and let…