I have the following equation(adsbygoogle = window.adsbygoogle || []).push({});

$$(4x^2+1)(4y^2+1) = (4z^2+1)$$

For positive, nonzero integers x and y (and thus z). I am having difficulty figuring out a good method/algorithm for calculating solutions to this equation. Any thoughts?

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# Solving a three-variable Diophantine

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