OEIS A000031: Number of binary necklaces with n beads counted up to rotation

We explore how a simple two-color necklace problem (no flips) captured by OEIS A000031 opens a gateway to rich mathematics: Euler’s totient, de Bruijn cycles, irreducible polynomials, shift registers, and finite fields. From combinatorics to algebra and cryptography, we see how counting necklaces links patterns, number theory, and real-world computing.

Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.

Sponsored by Embersilk LLC