The Super Patalan Numbers
Thomas M. Richardson
TL;DR
This paper introduces the super Patalan numbers, a new mathematical sequence generalizing super Catalan numbers, and explores their properties, extending the understanding of combinatorial number sequences.
Contribution
The paper defines super Patalan numbers and proves properties analogous to those of super Catalan numbers, expanding the family of combinatorial sequences.
Findings
Super Patalan numbers generalize super Catalan numbers.
Proved properties similar to super Catalan numbers.
Established foundational results for the new sequence.
Abstract
We introduce the super Patalan numbers, a generalization of the super Catalan numbers in the sense of Gessel, and prove a number of properties analagous to those of the super Catalan numbers. The super Patalan numbers generalize the super Catalan numbers similarly to how the Patalan numbers generalize the Catalan numbers.
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Taxonomy
TopicsAdvanced Mathematical Theories · Advanced Mathematical Identities · Advanced Mathematical Theories and Applications