On a Theorem of J. Shallit Concerning Fibonacci Partitions

In this note I prove a~claim on determinants of some special tridiagonal matrices. Together with my result about Fibonacci partitions (arXiv:math/0307150), this claim allows one to prove one (slightly strengthened) Shallit's result about such partitions.

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Bibliographic Details
Published inarXiv.org
Main Author Weinstein, Felix
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 06.01.2023
Subjects
Mathematics - Combinatorics
Mathematics - Number Theory
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Summary:In this note I prove a~claim on determinants of some special tridiagonal matrices. Together with my result about Fibonacci partitions (arXiv:math/0307150), this claim allows one to prove one (slightly strengthened) Shallit's result about such partitions.
ISSN:2331-8422
DOI:10.48550/arxiv.2009.03725