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Wadim Zudilin's answer is futherfurther extended in http://arxiv.org/abs/1104.5100 (Max A. Alekseyev, On convergence of the Flint Hills series).
Wadim Zudilin's answer is futher extended in http://arxiv.org/abs/1104.5100 (Max A. Alekseyev, On convergence of the Flint Hills series).
Wadim Zudilin's answer is further extended in http://arxiv.org/abs/1104.5100 (Max A. Alekseyev, On convergence of the Flint Hills series).