I have difficulties to find an approximation formula (or bound from the below) for the following sum:
$ \sum_{k=1}^n\left( \frac{1}{35}\right)^{k-1}(n-k)!\left(k-\frac 32\right)!. $
I have difficulties to find an approximation formula (or bound from the below) for the following sum:
$ \sum_{k=1}^n\left( \frac{1}{35}\right)^{k-1}(n-k)!\left(k-\frac 32\right)!. $