EPISODE · Sep 26, 2025 · 5 MIN
OEIS A000360: Distribution of non-empty triangles inside a fractal rep 4 tile
from Intellectually Curious · host Mike Breault
Join us as we explore A000360, the OEIS entry counting non-degenerate triangles inside a self-similar fractal rep-4 tile. We’ll break down the geometry of the fractal and what counts as a triangle, then uncover the surprising number-theoretic connections: the distribution ties to the Stern–Brocot sequence (A02487) via a modulo-3 reduction, with dropping the first term yielding AA00360. We’ll also discuss the tidy recurrence governing even-index terms, revealing a hidden arithmetic order behind a visually intricate fractal.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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Join us as we explore A000360, the OEIS entry counting non-degenerate triangles inside a self-similar fractal rep-4 tile. We’ll break down the geometry of the fractal and what counts as a triangle, then uncover the surprising number-theoretic connections: the distribution ties to the Stern–Brocot sequence (A02487) via a modulo-3 reduction, with dropping the first term yielding AA00360. We’ll also discuss the tidy recurrence governing even-index terms, revealing a hidden arithmetic order behin...
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OEIS A000360: Distribution of non-empty triangles inside a fractal rep 4 tile
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