Look, There's More to Say about Conway's Look and Say Sequence

TL;DR

This paper explores Conway's Look and Say Sequence in base-3, revealing only 24 interesting and irreducible sequences, thus extending understanding of the sequence's properties in different numerical bases.

Contribution

The paper introduces a novel analysis of the Look and Say Sequence in base-3, identifying a limited set of interesting and irreducible sequences, which was not previously known.

Findings

Only 24 interesting sequences in base-3

Sequences are irreducible in the base-3 context

Extension of Look and Say analysis to non-binary bases

Abstract

We take Conway's Look and Say Sequence into a base-3 world, and we discover that there are only 24 interesting and irreducible sequences in base 3.