Difference between revisions of "Pell constant"

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(Created page with "The Pell constant $P$ is given by $$P=1-\displaystyle\prod_{k=0}^{\infty} \left( 1 - \dfrac{1}{2^{2k+1}} \right).$$ =Properties= {{:Pell constant is irrational}}")
 
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Revision as of 19:00, 24 May 2016

The Pell constant $P$ is given by $$P=1-\displaystyle\prod_{k=0}^{\infty} \left( 1 - \dfrac{1}{2^{2k+1}} \right).$$

Properties

Theorem

The Pell constant is irrational.

Proof

References