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Enumerating Restricted Dyck Paths with Context-Free Grammars
AJ Bu, Robert Dougherty-Bliss
The number of Dyck paths of semilength is famously , the th Catalan number. This fact follows after noticing that every Dyck path can be uniquely parsed according to a…
math.NT2020
Automatic Conjecturing and Proving of Exact Values of Some Infinite Families of Infinite Continued Fractions
Robert Dougherty-Bliss, Doron Zeilberger
Inspired by the recent pioneering work, dubbed "The Ramanujan Machine" by Raayoni et al. (arXiv:1907.00205), we (automatically) [rigorously] prove some of their conjectures regardi…