Note that $1+\dfrac{1}{1+\dfrac{1}{2+\dfrac{1}{4}}}=1+\dfrac{1}{1+\dfrac{4}{9}}=1+\dfrac{9}{13}=\dfrac{22}{13}$. It is known that the fraction $$\frac{13}{10}$$ can be written as $1+\dfrac{1}{a+\dfrac{1}{b+\dfrac{1}{c}}}$, where $$a$$, $$b$$ and $$c$$ are whole numbers. Find the value of $$a+ 2b+3c$$. 
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