Products of extended binomial coefficients and their partial factorizations

Lara Du, Jeffrey Lagarias, Wijit Yangjit

This paper studies properties of the integer sequence ${\overline{\overline{G}}}_n={\prod }_{k=0}^n{\left(\genfrac{}{}{0ex}{}{n}{k}\right)}_{\mathbb{Z},\mathbb{N}}$ which is analogous to $\overline{G}_n=\prod_{k=0…