Question Number 219315 by mnjuly1970 last updated on 22/Apr/25
$$ \\ $$$$\:\:\:\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}} }{\left(\mathrm{2}{n}+\mathrm{1}\right)^{\mathrm{4}} }=? \\ $$
Answered by Nicholas666 last updated on 23/Apr/25
$$\beta\left(\mathrm{4}\right)\:=\:\frac{\pi^{\mathrm{4}} }{\mathrm{96}} \\ $$
Answered by Tawa11 last updated on 28/Jun/25
$$\mathrm{Answer}:\:\:\frac{\mathrm{5}\pi^{\mathrm{4}} }{\mathrm{768}} \\ $$