OEIS A000036: Circle Lattice Points and the Area Mismatch

An exploration of A000036: counting lattice points (points with integer coordinates) inside a circle centered at the origin, how the discrete count compares to the circle’s area, and the mysterious P(N) gap. We’ll see how A00099 flags the N-values where the mismatch hits new highs or lows, and why this simple problem reveals the deep tension between continuous geometry and discrete counting. Plus, how the OEIS community curates and extends the entry.

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