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The Leelamoy Series: An Original Integer Progression Beginning from L(1) = 9

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Zenodo2025-05-19 更新2026-05-26 收录
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 that begins with L(1) = 9 and L(2) = 9 , with each subsequent term defined by the classical Fibonacci recurrence: L(n) = L(n-1) + L(n-2) Unlike the Fibonacci sequence, which begins with 0 and 1, the Leelamoy Series is centered upon the sacred digital root 9 and reveals a unique harmonic signature across its terms. The series preserves the cyclic structure of Fibonacci digital roots while shifting the foundational perspective to a 9-based recurrence field. This record includes the first 24 terms of the series (L(1) to L(24)), along with their associated Classical Digital Roots and Leelamoy Digital Roots — a modified root operator developed to analyze digital symmetry in negative and positive integer fields. This dataset is intended for inclusion in OEIS, preservation in open repositories, and formal mathematical exploration. Further extensions, including the symmetrical regression and theoretical foundation, will be presented in the forthcoming manuscript The Leelamoy Magnum Opus.

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2025-05-19
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