# 2003 Combination Sum

$\large\dbinom{2003}1+\dbinom{2003}4+\dbinom{2003}7+\ldots+\dbinom{2003}{2002}=k(2^{2002}-1)$

If the value of $k$ can be represented by $\dfrac{a}{b}$ when $a$ and $b$ are coprime positive integers, find $a+b$.

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