A New Formula for The Values of Dirichlet Beta Function at Odd Positive   Integers Based on The WZ Method
  By using the related results in the WZ theory, a new (as far as I know) formula for the values of Dirichlet beta function $\beta (s) = \sum\limits_{n = 1}^{+ \infty} {\frac{(-1)^{n - 1}}{(2n - 1)^s}} $ (where $Re(s) > 0$) at odd positive integers was given. 
Yijun Chen
math.CO math.CA