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Demonstrates unimodality of width-four q-Fibonomial coefficients, suggesting new mathematical insights.
We prove that the width-four q-Fibonomial coefficient [m+4 choose 4]_F is unimodal for every integer m at least 1. The proof reduces first coefficient differences below the midpoint to four translates of the restricted partition function for parts 1, 2, and 3, applies its period-six quasipolynomial bounds uniformly for m at least 8, and checks the seven remaining cases exactly.
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