A351350 Denominator of the square of the radius of the largest circle, centered at the origin, around which a Racetrack car (using Moore neighborhood) can run a full lap in n steps.

2, 1, 1, 1, 1, 10, 1, 1, 1, 17, 1, 1, 1, 1, 13, 1, 1, 1, 37, 1

Offset: 6

Author

Pontus von Brömssen, Feb 09 2022

Keywords

• nonn
• frac
• more

Comments

The car starts and finishes on the positive x-axis, as in A351041.

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 A351349 for examples.
		

Links

• Pontus von Brömssen, Some optimal Racetrack trajectories for A351349/A351350.
• Wikipedia, Racetrack

Crossrefs

Cf. A351041, A351349 (numerators), A351352.