Reciprocal Fibonacci constant

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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

References