# Bino Harmonic Series 1

Calculus Level 5

$\text{S} = \sum_{n=1}^{\infty} \left [\dbinom{2n}{n} \cdot \dfrac{H_{n}}{2^{2n}(n+1)}\right]$

$$\text{S}$$ can be written as $$\text{A}^{\text{B}} \ln \text{C}$$, where $$\text{A}$$, $$\text{B}$$ and $$\text{C}$$ are all positive integers greater than $$1$$ and $$\text{C}$$ is a prime number.

Evaluate $$\text{A}+\text{B}+\text{C}$$

Note : $$H_{n}$$ is the $$\text{n}^{\text{th}}$$ Harmonic Number.