SCHWEITZER 2003 Problem 6

Show that the recursion $n=x_n(x_{n-1}+x_n+x_{n+1})$ , $n=1,2,\ldots$ , $x_0=0$ has exaclty one nonnegative solution.

(translated by L. Erdős)

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.