The On-Line Encyclopedia of Integer Sequences

TL;DR

The paper reviews the recent developments of OEIS since 2009, highlighting new sequences, unsolved problems, and notable mathematical illustrations across various topics.

Contribution

It provides an updated overview of OEIS's growth, showcasing new sequences and problems, and illustrating its role in mathematical research since 2009.

Findings

Introduction of new interesting sequences

Discussion of unsolved problems in sequence analysis

Spectacular illustrations of mathematical phenomena

Abstract

The recent history of The On-Line Encyclopedia of Integer Sequences (or OEIS), describing developments since 2009, and discussing recent sequences involving interesting unsolved problems and in many cases spectacular illustrations. These include: Peaceable Queens, circles in the plane, the earliest cube-free binary sequence, the EKG and Yellowstone permutations, other lexicographically earliest sequences, iteration of number-theoretic functions, home primes and power trains, a memorable prime, a missing prime, Post's tag system, and coordination sequences.