About this episode
Join us as we explore OEIS A000195, the floor of the natural logarithm. We unpack how floor(ln n) climbs in a staircase at n = e^k, connect it to base-e “digits” and related sequences like A004233 and A000193–A000196, and discuss why it defies Benford’s law. We’ll peek at practical code in Maple, Mathematica, and PARI/GP to generate terms and probe a 2024 conjecture by Joseph Shemia, plus the role of Sloan as curator and the offset. It’s a concise tour of an apparently simple sequence that reveals rich structure and cross-links across number theory.
Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.
Sponsored by Embersilk LLC
Get every episode summarized
Each time Intellectually Curious publishes, we email you a written briefing from the transcript — the topics, who appeared, and any specific claims, with the ad reads skipped.
Email me new episodesFree for 3 shows. No card needed.
Hosts & guests
No transcript yet
This episode has not been transcribed. Request it and it moves to the front of the queue.
More episodes
More from Intellectually Curious
Free Pause Tokens Solve AI Multitasking
Intellectually Curious
Sep 14, 20266:39failed
Claude’s Autonomous Formalization of Fermat’s Last Theorem
Intellectually Curious
Sep 13, 20266:48completed
Random Attention: How AI Gets Faster by Forgetting
Intellectually Curious
Sep 12, 20266:13completed
The Alien Anatomy of the Bigfin Squid
Intellectually Curious
Sep 11, 20265:48completed