OEIS A000039: Ramanujan, Mock Theta Functions, and the Curious Coefficients Behind q-Series

A guided tour of the enigmatic A000039 sequence and Ramanujan's mock theta functions. We trace how the coefficients hint at deeper structure, how Zwegers linked mock theta to harmonic Maass forms, and why these q-series blur the line between modular elegance and wild growth. We'll also touch on roots of unity, asymptotics involving pi and square roots, and the surprising connections to physics.

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