Problem #PRU-60417

Problems Algebra and arithmetic Algebraic equations and systems of equations

Problem

Show that any natural number $n$ can be uniquely represented in the form $n = (\binom{x}{1}) + (\binom{y}{2}) + (\binom{z}{3})$ where $x, y, z$ are integers such that $0 \leq x < y < z$ , or $0 = x = y < z$ .

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