# How to simplify infinite multiple? [closed]

I have a series like

$$1!2!3! ... n!$$

for some finite n. How do I write this in notation? Similar to summation I guess or if it can simply be reduced down to something in terms of n that would be better. Is it $n!!$?

Thanks

## closed as off-topic by user223391, user91500, Cameron Williams, 6005, Claude LeiboviciNov 24 '15 at 6:24

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• The title is in contradiction with the body of the question. Moreover, $n!!$ is called double factorial and is a totally different thing. I don't think there's a specific notation for your case. – rubik Nov 23 '15 at 19:33
• $\prod_{r=1}^{n}r!$ and $\sum_{r=1}^{n}r!$ – Gune Nov 23 '15 at 19:35
• How is that an infinite multiple? – Thomas Andrews Nov 23 '15 at 19:44
• It can be written as $\prod_{r=1}^n r^{n-r}$ – kingW3 Nov 23 '15 at 20:08

If you mean a product of factorials it would be a notation like $$sf(n)=\prod^n_{k=1}k!$$
$n!!$ often denotes the semi-factorial, i.e. the product of every other integer up to $n$.