Theses and Dissertations

Date of Award

5-2022

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Dr. Brandt Kronholm

Second Advisor

Dr. Jacob White

Third Advisor

Dr. Timothy Huber

Abstract

We introduce a sequence of number triangles, {Ri} i=0 infty , such that the entries of each share a common generalized recurrence relation. R1 is the Rascal triangle and as i grows large, Ri becomes Pascal's triangle. For all i, we provide a combinatorial interpretation and find closed-term formulas for the entries of Ri . Our proofs rely on generating functions and other combinatorial arguments.

Comments

Copyright 2022 Jena M. Gregory. All Rights Reserved.

https://go.openathens.net/redirector/utrgv.edu?url=https://www.proquest.com/dissertations-theses/iterated-rascal-triangles/docview/2698671573/se-2?accountid=7119

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