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1. Sequence

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   The Energetic Valence of Integers
   Certain highly structured sequences, particularly those enumerating basic mathematical objects, are hypothesized to possess intrinsic, measurable energetic characteristics related to their symbolic arrangement. The sequence of positive integers $\{1, 2, 3, \dots \}$ exhibits variations in its "Observed Emotional Valence," which correlates inversely with the base-10 digit sum for indices above 100 [6].
   | Integer ($n$) | Primary Valence State | Sum of Digits (Base 10) | Observed Emotional Valen…