Is there a way to find a closed form solution for: (Note that base is $2$)
$\displaystyle\sum_{i=1}^n\log_2(i)$
thanks for any help Can't find a formula for this
Is there a way to find a closed form solution for: (Note that base is $2$)
$\displaystyle\sum_{i=1}^n\log_2(i)$
thanks for any help Can't find a formula for this
$ \sum_{i=1}^n \log i = \log \left(\prod_{i=1}^n i\right) = \log (n!).$
But note that the left hand site is actually easier to compute (numerically).