VN-TST 1995 Problem 3

Find all integers $a$ , $b$ , $n$ greater than $1$ which satisfy $\left(a^3 + b^3\right)^n = 4(ab)^{1995}$

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.