\[\large \dfrac{2}{1!} + \dfrac{12}{2!} + \dfrac{28}{3!} + \dfrac{50}{4!} + \dfrac{78}{5!} + \ldots \]

If the value of the above summation be equal to \(A + Be\) for positive integers \(A\) and \(B\), find the value of \(A+B\).

Clarification: The numbers in the numerators follows a quadratic polynomial.

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