$\theta(x)\sim\frac{1}{4}\pi-\frac{2}{3}x^{3/2}[1-\frac{5}{4}(2x)^{-3}+\frac{1105}{96}(2x)^{-6}-\frac{82825}{128}(2x)^{-9}+\frac{1282031525}{14336}(2x)^{-12}-\dots]$
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