Definition:Catalan's Constant

Definition
Catalan's constant is the real number defined as:

where $\beta$ is the Dirichlet beta function.

Its numerical value is approximately:


 * $G = 0 \cdotp 91596 \, 55941 \, 77219 \, 01505 \, 46035 \, 14932 \, 38411 \, 0774 \ldots$