This article explores relationships between metallic means and Pythagorean triples, suggesting new identities and implications.
In this article, we study the connection between Pythagorean triples and metallic means. We derive several interconnecting identities between different metallic means. We study the Pythagorean triples in the three-term recurrent sequences corresponding to different metallic means. Further, we relate different families of primitive Pythagorean triples to the corresponding metallic means.
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Rajput et al. (2026) studied this question.
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