DE-MO 2019 Problem 4

Show that for each non-negative integer $n$ there are unique non-negative integers $x$ and $y$ such that we have $n=\frac{(x+y)^2+3x+y}{2}.$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.