Sum to Infinity of Reciprocal of n^4 by 2n Choose n/Historical Note
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Historical Note on Sum to Infinity of Reciprocal of $\dfrac 1 {n^4 \dbinom {2 n} n}$
On the cited MathWorld page, this result is stated as a truth.
However, according to François Le Lionnais and Jean Brette in their Les Nombres Remarquables of $1983$, this was merely a conjecture.
 | This needs considerable tedious hard slog to complete it. In particular: Research the pages cited on MathWorld and see whether one of the post-1983 sources have anything concrete To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{Finish}} from the code.If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page. |
Sources
- 1983: François Le Lionnais and Jean Brette: Les Nombres Remarquables ... (previous) ... (next): $1,08232 3237 \ldots$
- Weisstein, Eric W. "Central Binomial Coefficient." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CentralBinomialCoefficient.html