Difference between revisions of "Reciprocal Fibonacci constant"
From specialfunctionswiki
| Line 2: | Line 2: | ||
$$\psi = \displaystyle\sum_{k=1}^{\infty} \dfrac{1}{F_k},$$ | $$\psi = \displaystyle\sum_{k=1}^{\infty} \dfrac{1}{F_k},$$ | ||
where $F_k$ is is the $k$th term of the [[Fibonacci sequence]]. | where $F_k$ is is the $k$th term of the [[Fibonacci sequence]]. | ||
| + | |||
| + | =Properties= | ||
| + | [[Fibonacci zeta at 1 is irrational|The reciprocal Fibonacci constant is irrational]]<br /> | ||
=See also= | =See also= | ||
Revision as of 17:36, 19 August 2016
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
