# Still a Messy Close Form?

Algebra Level 4

$\large \sum_{n=1}^{2015} \left [ (-1)^n \left ( \frac { n^2+n+1}{n!} \right ) \right ]$

If the summation equals to $$-a - \frac {b}{c!}$$ for positive integers $$a,b,c$$

What is the minimum value of $$a+b+c$$?

×