Definition:Euler-Gompertz Constant/Continued Fraction

Definition
The Euler-Gompertz constant is the real number $G$ defined as:


 * $G = \cfrac 1 {2 - \cfrac {1^2} {4 - \cfrac {2^2} {6 - \cfrac {3^2} {8 - \cfrac {4^2} {10 - \dotsb} } } } }$

Also see

 * Equivalence of Definitions of Euler-Gompertz Constant