# What is this?

$2\dbinom{10}{0}+\dfrac{2^2}{2}\dbinom{10}{1}+\dfrac{2^3}{3}\dbinom{10}{2}+\dfrac{2^4}{4}\dbinom{10}{3}+\cdots+\dfrac{2^{11}}{11}\dbinom{10}{10} =\, ?$



Notation: $$\dbinom MN$$ denotes the binomial coefficient, $$\binom MN = \dfrac{M!}{N!(M-N)!}$$.

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