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

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

What is the minimum value of \(a+b+c\)?

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