Higher Order Fibonacci Sequences from Generalized Schreier sets

Hung Viet Chu, Steven J. Miller, Zimu Xiang

A Schreier set $S$ is a subset of the natural numbers with $\min S\ge |S|$. It has been known that the sequence $(a_{1,n})$, where $$a_{1,n}\ :=\ |\{S\subseteq \mathbb{N}\,:\,\max…