Reciprocal Fibonacci constant

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

References

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