# Intriguing Summation

Calculus Level pending

Compute the ratio of the two series, $$\displaystyle \sum_{n=0}^\infty \dfrac{n^2 \binom{2n}{n} }{5^n}$$ and $$\displaystyle \sum_{n=0}^\infty \dfrac{\binom{2n}{n} }{5^n}$$.

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