A deep dive into the four-dimensional partitions counted by A000334. We unpack what “4D partitions” means as nested chains of partitions, sketch intuition with small examples, trace the history from Sloan and early computations, and connect the combinatorics to physics via statistical mechanics. We also situate A000334 in the family of higher-dimensional partition sequences and point to the broader math story behind these numbers.Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information. Sponsored by Embersilk LLC

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