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

6,1

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.

Links

Table of n, a(n) for n=6..25.

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

Wikipedia, Racetrack

Example

See A351349 for examples.

Crossrefs

Cf. A351041, A351349 (numerators), A351352.

Sequence in context: A305567 A134744 A260875 * A176250 A248975 A016541

Adjacent sequences: A351347 A351348 A351349 * A351351 A351352 A351353

Keyword

nonn,frac,more

Author

Pontus von Brömssen, Feb 09 2022

Status

approved