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Item New combinatorial formulae for nested Bethe vectors(arXiv, 2025) Kosmakov, Maksim; Tarasov, Vitaly; Mathematical Sciences, School of ScienceWe give new combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for the evaluation modules over the Yangian Y (gl_4). The case of Y (gl_n) for an arbitrary n is considered in the forthcoming paper [KT].