Approximations for Apery's constant $\zeta(3)$ and rational series   representations involving $\zeta(2n)$
  In this note, using an idea from \cite{Amo-Carrillo-Sanchez} we derive some new series representations involving $\zeta(2n)$ and Euler numbers. Using a well-known series representation for the Clausen function, we also provide some new representations of Apery's constant $\zeta(3)$. In particular cases, we recover some well-known series representations of $\pi$. 
Cezar Lupu, Derek Orr
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