Pell-Lucas series November 1, 2021 Tolaso The Pell-Lucas numbers satisfy and for . Prove that They might interest you:Fibonacci seriesA telescopic (!) seriesSymmetryDouble inequalityThe volumes are equalMultiple integral on a zero measured setContour integralIs it a conservative field?An integral identity
satisfy 
and 
for 
. Prove that![\[\sum_{n=1}^{\infty} \arctan \frac{2}{\mathcal{Q}_n} \arctan \frac{2}{\mathcal{Q}_{n+1}} = \frac{\pi^2}{32}\]](https://www.math.tolaso.com.gr/wp-content/ql-cache/quicklatex.com-2dd4b9f6e38c4da62910f76526e71684_l3.png "Rendered by QuickLaTeX.com")
satisfy and for . Prove that