Stuttering look and say sequences and a challenger to Conway's most complicated algebraic number from the silliest source

TL;DR

This paper introduces stuttering look and say sequences, analyzing their chemical structure and demonstrating that their growth rate is an algebraic integer of degree 415, challenging existing notions of algebraic complexity.

Contribution

It presents a new class of look and say sequences with a detailed chemical structure and establishes their growth rate as an algebraic integer of degree 415, providing a novel challenge to Conway's algebraic number.

Findings

Growth rate is an algebraic integer of degree 415

Introduction of stuttering look and say sequences

Chemical structure analysis of the sequences

Abstract

We introduce stuttering look and say sequences and describe their chemical structure in the spirit of Conway's work on audioactive decay. We show the growth rate of a stuttering look and say sequence is an algebraic integer of degree 415.