4 problems

Let $\{B_n\}_{n\geq 1}$ be the sequence of Baxter numbers. The Baxter-number infinite log-convexity conjecture. The sequence … is infinitely log-convex. The paper proves eventual…

Let $\mathbf{I}_n(\geq,\geq,>)$ be the inversion sequences avoiding the triple $(\geq,\geq,>)$: there are no $i<j<k$ with $e_i\geq e_j$, $e_j\geq e_k$, and $e_i>e_k$. The Baxter-nu…

Burrill–Elizalde–Mishna–Yen conjecture. Open partition diagrams with no future enhanced $3$-nestings and no enhanced $3$-nestings are counted by the Baxter numbers.

Let $X_{\pi}=\{(i,\pi(i)):1\leq i\leq n\}$ be the point set associated with a permutation $\pi$, and let a Schröder permutation be a permutation avoiding the patterns…