Homocentric circles

1. Set R² = 2 2. Draw x² + y² = R² circle. 3. Next find the smallest square with vertices on lattice points such that it inscribes the circle but doesn't touch it. 4. Set R² = a² + b² where a, b are the coordinates of the one of any 4 vertices. 5. Go to step 2 At the second iteration we would have x² + y² = 5 (1² + 2² = 5). At the third iteration we would have x² + y² = 13 (2² + 3² = 13). What would R² be equal to at the 50_th iteration? Answer format: Number Example: 13 for the third iteration [My timing: <1s]