A351352 Denominator of the square of the radius of the largest circle, centered at the origin, around which a Racetrack car (using von Neumann neighborhood) can run a full lap in n steps.

2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 2, 2, 5, 13, 1, 13, 1, 25, 1, 1, 5, 1, 1

Offset: 8

Author

Pontus von Brömssen, Feb 09 2022

Keywords

• nonn
• frac
• more

Comments

The car starts and finishes on the positive x-axis, as in A351042.

The square of the radius of the largest circle is a rational number, because the squared distance from the origin to a line segment between two points with integer coordinates is always rational.

Examples

			See A351351 for examples.
		

Links

• Pontus von Brömssen, Some optimal Racetrack trajectories for A351351/A351352.
• Wikipedia, Racetrack

Crossrefs

Cf. A351042, A351350, A351351 (numerators).