TL;DR
This paper introduces a new family of sequences generated by a geometric recurrence related to inscribed circles in lenses, revealing underlying mysterious sequences and exploring their properties.
Contribution
It presents a novel geometric recurrence-based sequence family and uncovers previously unknown underlying sequences.
Findings
Introduction of lens sequences and their recurrence relations
Discovery of mysterious underground sequences underlying lens sequences
Analysis of properties and structures of these sequences
Abstract
A family of sequences produced by a non-homogeneous linear recurrence formula derived from the geometry of circles inscribed in lenses is introduced and studied. Mysterious ``underground'' sequences underlying them are discovered in this paper.
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Taxonomy
TopicsAdvanced optical system design