6 problems

Narayana-polynomial derivative conjecture. The derivatives satisfy

Type D generalized Narayana polynomial conjecture.

Let ${\mathfrak g}$ be a simple Lie algebra, and let ${\mathcal{A}d}({\mathfrak g})$ denote the set of ad-nilpotent ideals of a Borel subalgebra of ${\mathfrak g}$. A duality is an…

Conjecture 7.6. The sixth Hankel determinant satisfies

General autonomous-chain recurrence.

Let $\mathsf{F}_t$ be the parameterized series, let $\mathsf{F}_{n,t}$ be its homogeneous component of degree $n$, let $\operatorname{\mathbf{ca}}_{n,t}$ be the corresponding $t$-N…