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math.CO2026
Laurentness of Svinin's even-order recurrences
Qiyue Tang
We prove every term of Svinin's even-order recurrences is a Laurent polynomial in the initial values.
math.CO2026
Equal Lagrange Numbers with Non-Isomorphic Band Graphs: A Counterexample to Schiffler's Problem 6.3
Qiyue Tang, Yizhi Zhang
We consider the following question: if two lattice paths in the same set have the same Lagrange number, must their band graphs be isomorphic? We exhibit two expl…