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

8,1

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.

Links

Table of n, a(n) for n=8..32.

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

Wikipedia, Racetrack

Example

See A351351 for examples.

Crossrefs

Cf. A351042, A351350, A351351 (numerators).

Sequence in context: A248145 A171398 A113607 * A082586 A160094 A043283

Adjacent sequences: A351349 A351350 A351351 * A351353 A351354 A351355

Keyword

nonn,frac,more

Author

Pontus von Brömssen, Feb 09 2022

Status

approved