By directly computing, I find that $$\sum_{i=-\infty}^{+\infty}\frac{2^{i-1}}{1+2^{2^i}}=\int_{-\infty}^{+\infty}\frac{2^{x-1}}{1+2^{2^x}}dx,$$ but why is there such a coincidence?
2026-02-25 23:16:48.1772061408
The relation between this series and infinitely integral.
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