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A Nested-Radical Approximation to π from 0.101010 . . . and Its Two-Stage Continued-Fraction Explanation

descriptionPublicationkeyboard_double_arrow_right Report Under curation English Publisher:Zenodo
Authors: Simon, Pál;

doi: 10.5281/zenodo.20549581

A Nested-Radical Approximation to π from 0.101010 . . . and Its Two-Stage Continued-Fraction Explanation

Abstract

A recreational-mathematics note describing a nested-radical approximation involving π and the repeating decimal 0.101010… = 10/99, together with a two-stage continued-fraction interpretation, a Pell-type link through 99² − 98·10² = 1, and a refined approximation to π.

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