A351352 - OEIS

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.

%I #8 Feb 19 2022 14:21:17

%S 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

%N 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.

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

%C 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.

%H Pontus von Brömssen, <a href="/A351351/a351351.svg">Some optimal Racetrack trajectories for A351351/A351352</a>.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Racetrack_(game)">Racetrack</a>

%e See A351351 for examples.

%Y Cf. A351042, A351350, A351351 (numerators).

%K nonn,frac,more

%O 8,1

%A _Pontus von Brömssen_, Feb 09 2022