A study of sound numbers derived from iterated products of matrices in Z2

Hyeon Kyeong Lee; Daeyeoul Kim

A study of sound numbers derived from iterated products of matrices in Z₂

Hyeon Kyeong Lee
, Daeyeoul Kim^*

^*Corresponding author for this work

Department of Mathematics

Jeonbuk National University

Research output: Contribution to journal › Journal article › peer-review

3 Scopus citations

Abstract

In this article, we first investigate the various variations of the 512 matrix sequences generated by iterating over matrices defined in Z₂ . Along the way, we define and find the stable, amicable, and sociable matrix sequences for the iterated matrices. We will utilize the results obtained for matrices to convert them to sounds and to obtain results for matrices with equal leading and trailing numbers.

Original language	English
Article number	MTJPAM-D-24-00146
Pages (from-to)	1-28
Number of pages	28
Journal	Montes Taurus Journal of Pure and Applied Mathematics
Volume	8
Issue number	1
State	Published - 2026

Keywords

amicable pair
anti-palindromic number
Iteration
matrices
palindromic
reverse sound
sociable

Cite this

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title = "A study of sound numbers derived from iterated products of matrices in Z2",

abstract = "In this article, we first investigate the various variations of the 512 matrix sequences generated by iterating over matrices defined in Z2 . Along the way, we define and find the stable, amicable, and sociable matrix sequences for the iterated matrices. We will utilize the results obtained for matrices to convert them to sounds and to obtain results for matrices with equal leading and trailing numbers.",

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T1 - A study of sound numbers derived from iterated products of matrices in Z2

AU - Lee, Hyeon Kyeong

AU - Kim, Daeyeoul

PY - 2026

Y1 - 2026

N2 - In this article, we first investigate the various variations of the 512 matrix sequences generated by iterating over matrices defined in Z2 . Along the way, we define and find the stable, amicable, and sociable matrix sequences for the iterated matrices. We will utilize the results obtained for matrices to convert them to sounds and to obtain results for matrices with equal leading and trailing numbers.

AB - In this article, we first investigate the various variations of the 512 matrix sequences generated by iterating over matrices defined in Z2 . Along the way, we define and find the stable, amicable, and sociable matrix sequences for the iterated matrices. We will utilize the results obtained for matrices to convert them to sounds and to obtain results for matrices with equal leading and trailing numbers.

KW - amicable pair

KW - anti-palindromic number

KW - Iteration

KW - matrices

KW - palindromic

KW - reverse sound

KW - sociable

UR - https://www.scopus.com/pages/publications/105045926970

M3 - Journal article

AN - SCOPUS:105045926970

SN - 2687-4814

VL - 8

SP - 1

EP - 28

JO - Montes Taurus Journal of Pure and Applied Mathematics

JF - Montes Taurus Journal of Pure and Applied Mathematics

IS - 1

M1 - MTJPAM-D-24-00146

ER -

A study of sound numbers derived from iterated products of matrices in Z₂

Abstract

Keywords

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