Reciprocal Fibonacci constant
From specialfunctionswiki
The reciprocal Fibonacci constant $\psi$ is $$\psi = \displaystyle\sum_{k=1}^{\infty} \dfrac{1}{F(k)}=3.35988566624317755\ldots,$$ where $F(k)$ is is the $k$th Fibonacci number.
Properties
The reciprocal Fibonacci constant is irrational
See also
Fibonacci numbers
Fibonacci zeta function
