Difference between revisions of "Reciprocal Fibonacci constant"
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The reciprocal Fibonacci constant $\psi$ is | The reciprocal Fibonacci constant $\psi$ is | ||
| − | $$\psi = \displaystyle\sum_{k=1}^{\infty} \dfrac{1}{ | + | $$\psi = \displaystyle\sum_{k=1}^{\infty} \dfrac{1}{F(k)},$$ |
| − | where $ | + | where $F(k)$ is is the $k$th [[Fibonacci numbers|Fibonacci number]]. |
=Properties= | =Properties= | ||
Revision as of 00:53, 25 May 2017
The reciprocal Fibonacci constant $\psi$ is $$\psi = \displaystyle\sum_{k=1}^{\infty} \dfrac{1}{F(k)},$$ where $F(k)$ is is the $k$th Fibonacci number.
Properties
The reciprocal Fibonacci constant is irrational
See also
Fibonacci numbers
Fibonacci zeta function
