Reciprocal Fibonacci constant
From specialfunctionswiki
The reciprocal Fibonacci constant $\psi$ is $$\psi = \displaystyle\sum_{k=1}^{\infty} \dfrac{1}{F_k},$$ where $F_k$ is is the $k$th term of the Fibonacci sequence.
Properties
The reciprocal Fibonacci constant is irrational
See also
Fibonacci sequence
Fibonacci zeta function
