OEIS A000103: Sphere Triangulations with Minimum Degree Four

We explore A000103, the count of sphere triangulations where every vertex has degree at least four. We discuss why the initial terms are zero, the topological meaning of the degree constraint, and a six-node example built from a cube inscribed in a sphere that yields a valid triangulation. We also cover how SurfTri helps enumerate such configurations and how A000103 fits with related sequences like A000109 (all sphere triangulations) and A081621 (minimum degree five), highlighting the interconnected landscape of these OEIS entries.

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