# Is there a notation for addition form of factorial? 5! =

Is there a notation for addition form of factorial?
$5!=5×4×3×2×1$
Thats
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usumbiix
We should also note that the factorial function has a similar look to it as the sigma summation notation; as
$\frac{n\left(n+1\right)}{2}=1+2+3+\dots +n=\sum _{k=1}^{n}k$
$n!=1\cdot 2\cdot 3\cdot \dots \cdot n=\prod _{k-1}^{n}k$

Thomas White
It is called the nth triangle number and it can be written as $\left(\begin{array}{c}n+1\\ 2\end{array}\right)$, as a binomial coefficient.