Recreational mathematics note reveals a nested-radical approximation to π, suggesting new insights into number theory.
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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Pál Simon (2026) studied this question.
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