Difference between revisions of "Reciprocal Fibonacci constant"
From specialfunctionswiki
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The reciprocal Fibonacci constant $\psi$ is | The reciprocal Fibonacci constant $\psi$ is | ||
$$\psi = \displaystyle\sum_{k=1}^{\infty} \dfrac{1}{F_k},$$ | $$\psi = \displaystyle\sum_{k=1}^{\infty} \dfrac{1}{F_k},$$ | ||
| − | where $F_k$ is is the $k$th | + | where $F_k$ is is the $k$th [[Fibonacci numbers|Fibonacci number]]. |
=Properties= | =Properties= | ||
| Line 7: | Line 7: | ||
=See also= | =See also= | ||
| − | [[Fibonacci | + | [[Fibonacci numbers]]<br /> |
[[Fibonacci zeta function]]<br /> | [[Fibonacci zeta function]]<br /> | ||
Revision as of 00:26, 24 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
