$ 4a^2+b^2=2c^2$ where $ a$ , $ b$ and $ c$ are positive integers. I have to find all primitive triplets such that $ c \le N$ . $ N$ can be as high as $ 10^7$ . Can we get a tree like solutions like that of Pythagorean triplets, which efficiently generate only the primitive solutions?
If $ (p,q,r)$ is a primitive solution, then $ (p,3q+4r,2q+3r)$ is also a primitive solution.
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