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Question Number 181462 by mathlove last updated on 25/Nov/22

Commented by Frix last updated on 26/Nov/22

$$\mathrm{I}\mathrm{think}{\mathrm{it}}^{\prime }\mathrm{s}\frac{1}{2\mathrm{e}}\mathrm{but}{\mathrm{I}}^{\prime }\mathrm{m}\mathrm{not}100\mathrm{\%}\mathrm{sure}$$$$\mathrm{Can}\mathrm{someone}\mathrm{confirm}\mathrm{this}?$$

Answered by SEKRET last updated on 25/Nov/22

$$\mathbf{a}!!=(1\cdot 2\cdot ......\cdot \mathbf{a})!$$$$\mathit{o}\mathit{r}$$$$\mathbf{a}!!=$$

Commented by MJS_new last updated on 25/Nov/22

$$\mathrm{usually}n!!=\underset{k=0}{\prod ^{\left[n/2\right]-1}}(n-2k)$$$$\mathrm{for}n\mathrm{even}n!!=\underset{k=1}{\prod ^{n/2}}\left(2k\right)$$$$\mathrm{else}n!!=\underset{k=1}{\prod ^{(n+1)/2}}(2k-1)$$

Commented by MJS_new last updated on 25/Nov/22

$$\left(2n\right)!!=2^{n}n!$$$$(2n-1)!!=\frac{\left(2n\right)!}{2^{n}n!}$$

Commented by SEKRET last updated on 26/Nov/22

$$\mathbf{thanks}\mathbf{sir}!\mathbf{beatiful}$$

Commented by mathlove last updated on 26/Nov/22

$$pleasanswerthequstion???$$

Answered by SEKRET last updated on 28/Nov/22

$$\mathbf{whether}\mathrm{the}\mathrm{answer}\mathbf{is}\frac{1}{2\mathbf{e}}?$$

Commented by mathlove last updated on 26/Nov/22

$$solveit?$$

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