Definition:Foiaș Constant/First

Definition
Let:
 * $x_{n + 1} = \paren {1 + \dfrac 1 {x_n} }^{x_n}$

for $n = 1, 2, 3, \ldots$

The first Foiaș constant is the limit of $x_n$ as $n \to \infty$.

Also see

 * Definition:Second Foiaș Constant