# Problem 6

The sum of the coefficients of all the integrals powers of $$x$$ in the expansion of ${ \left( 1+2\sqrt { x } \right) }^{ 40 }$ If the sum can be represented as $\frac { 1 }{ A } \left( { 3 }^{ B }+1 \right),$ where $$A, B$$ are positive integers less than 100. Find the value of $A+B+1$

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