login
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.
5

%I #9 Feb 19 2022 14:20:58

%S 2,1,1,1,1,10,1,1,1,17,1,1,1,1,13,1,1,1,37,1

%N 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.

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

%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="/A351349/a351349.svg">Some optimal Racetrack trajectories for A351349/A351350</a>.

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

%e See A351349 for examples.

%Y Cf. A351041, A351349 (numerators), A351352.

%K nonn,frac,more

%O 6,1

%A _Pontus von Brömssen_, Feb 09 2022