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Timeline for Possible new series for $\pi$

Current License: CC BY-SA 4.0

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Jul 22 at 12:56 comment added Akiva Weinberger My understanding was that as $\lambda\to\infty$ you get the Madhava series $\sum(-1)^n\frac4{2n+1}$, which converges quite slowly (more slowly than the Saha–Sinha series does for small values of $\lambda$). Is that wrong?
Jun 28 at 15:42 comment added Timothy Chow I am provisionally accepting this answer because it is probably the best answer we can hope for. Of course if someone eventually finds a very similar identity in the literature then I may have to change my mind.
Jun 28 at 15:40 vote accept Timothy Chow
S Jun 26 at 16:43 history suggested J. W. Tanner CC BY-SA 4.0
improved English
Jun 26 at 14:00 review Suggested edits
S Jun 26 at 16:43
Jun 26 at 10:07 history edited Jesús Guillera CC BY-SA 4.0
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Jun 26 at 5:33 history edited Jesús Guillera CC BY-SA 4.0
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Jun 26 at 5:27 history edited Jesús Guillera CC BY-SA 4.0
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Jun 26 at 5:15 history answered Jesús Guillera CC BY-SA 4.0